{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T16:17:49Z","timestamp":1778689069177,"version":"3.51.4"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T00:00:00Z","timestamp":1766016000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T00:00:00Z","timestamp":1766016000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2026,5]]},"DOI":"10.1007\/s40314-025-03522-2","type":"journal-article","created":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T07:39:00Z","timestamp":1766043540000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A different perspective: Hermite-type exponential sampling series"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6697-9627","authenticated-orcid":false,"given":"Sadettin","family":"Kursun","sequence":"first","affiliation":[]},{"given":"Tuncer","family":"Acar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,12,18]]},"reference":[{"issue":"7","key":"3522_CR1","doi-asserted-by":"publisher","first-page":"2663","DOI":"10.55730\/1300-0098.3293","volume":"46","author":"T Acar","year":"2022","unstructured":"Acar T, Alagoz O, Aral A, Costarelli D, Turgay M, Vinti G (2022) Approximation by sampling Kantorovich series in weighted spaces of functions. Turk J Math 46(7):2663\u20132676","journal-title":"Turk J Math"},{"key":"3522_CR2","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/s00009-025-02843-0","volume":"22","author":"T Acar","year":"2025","unstructured":"Acar T, Draganov BR, Kursun S (2025) Saturation class of generalized exponential sampling operators. Mediterr J Math 22:71","journal-title":"Mediterr J Math"},{"key":"3522_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/s10998-025-00678-6","author":"T Acar","year":"2025","unstructured":"Acar T, Kursun S (2025) $$m$$-th order exponential sampling Kantorovich series. Period Math Hung. https:\/\/doi.org\/10.1007\/s10998-025-00678-6","journal-title":"Period Math Hung"},{"key":"3522_CR4","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1007\/s41980-024-00868-x","volume":"50","author":"T Acar","year":"2024","unstructured":"Acar T, Kursun S, Acar O (2024) Approximation properties of exponential sampling series in logarithmic weighted spaces. Bull Iran Math Soc 50:36","journal-title":"Bull Iran Math Soc"},{"issue":"1","key":"3522_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.64700\/mmm.25","volume":"1","author":"A Aral","year":"2023","unstructured":"Aral A (2023) Weighted approximation: Korovkin and quantitative type theorems. Modern Math Methods 1(1):1\u201321","journal-title":"Modern Math Methods"},{"key":"3522_CR6","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1007\/s13324-022-00667-9","volume":"12","author":"A Aral","year":"2022","unstructured":"Aral A, Acar T, Kursun S (2022) Generalized Kantorovich forms of exponential sampling series. Anal Math Phys 12:50","journal-title":"Anal Math Phys"},{"key":"3522_CR7","doi-asserted-by":"publisher","first-page":"854","DOI":"10.1016\/j.apenergy.2017.11.091","volume":"211","author":"F Asdrubali","year":"2018","unstructured":"Asdrubali F, Baldinelli G, Bianchi F, Costarelli D, Evangelisti L, Rotili A, Seracini M, Vinti G (2018) A model for the improvement of thermal bridges quantitative assessment by infrared thermography. Appl Energy 211:854\u2013864","journal-title":"Appl Energy"},{"issue":"4","key":"3522_CR8","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1080\/01630563.2015.1013550","volume":"36","author":"RM Asharabi","year":"2015","unstructured":"Asharabi RM, Prestin J (2015) A modification of Hermite sampling with a Gaussian multiplier. Numer Funct Anal Optim 36(4):419\u2013437","journal-title":"Numer Funct Anal Optim"},{"key":"3522_CR9","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1007\/s00025-019-1104-x","volume":"74","author":"S Balsamo","year":"2019","unstructured":"Balsamo S, Mantellini I (2019) On linear combinations of general exponential sampling series. Results Math 74:180","journal-title":"Results Math"},{"issue":"4","key":"3522_CR10","first-page":"153","volume":"2","author":"C Bardaro","year":"2019","unstructured":"Bardaro C, Bevignani G, Mantellini I, Seracini M (2019) Bivariate generalized exponential sampling series and applications to seismic waves. Constr Math Anal 2(4):153\u2013167","journal-title":"Constr Math Anal"},{"issue":"9","key":"3522_CR11","doi-asserted-by":"publisher","first-page":"11058","DOI":"10.1002\/mma.9168","volume":"46","author":"C Bardaro","year":"2023","unstructured":"Bardaro C, Broccatelli N, Mantellini I, Seracini M (2023) Semi-discrete operators in multivariate setting: convergence properties and applications. Math Meth Appl Sci 46(9):11058\u201311079","journal-title":"Math Meth Appl Sci"},{"key":"3522_CR12","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/BF03549572","volume":"13","author":"C Bardaro","year":"2014","unstructured":"Bardaro C, Butzer PL, Mantellini I (2014) The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Sampl Theory Signal Image Process 13:35\u201366","journal-title":"Sampl Theory Signal Image Process"},{"key":"3522_CR13","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1080\/10652469.2015.1087401","volume":"27","author":"C Bardaro","year":"2016","unstructured":"Bardaro C, Butzer PL, Mantellini I (2016) The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Integr Transf Spec Funct 27:17\u201329","journal-title":"Integr Transf Spec Funct"},{"key":"3522_CR14","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1016\/j.jat.2016.02.010","volume":"207","author":"C Bardaro","year":"2016","unstructured":"Bardaro C, Butzer PL, Mantellini I, Schmeisser G (2016) On the Paley-Wiener theorem inthe Mellin transform setting. J Approx Theory 207:60\u201375","journal-title":"J Approx Theory"},{"key":"3522_CR15","volume-title":"Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin-Lebesgue norms, Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis","author":"C Bardaro","year":"2023","unstructured":"Bardaro C, Butzer PL, Mantellini I, Schmeisser G, Stens RL (2023) Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin-Lebesgue norms, Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis. Birkhauser, Cham"},{"key":"3522_CR16","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/BF03549462","volume":"6","author":"C Bardaro","year":"2007","unstructured":"Bardaro C, Butzer PL, Stens RL, Vinti G (2007) Kantorovich-type generalized sampling series in the setting of Orlicz spaces. STSIP 6:29\u201352","journal-title":"STSIP"},{"issue":"6","key":"3522_CR17","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.1515\/ms-2017-0064","volume":"67","author":"C Bardaro","year":"2007","unstructured":"Bardaro C, Faina L, Mantellini I (2007) A generalization of the exponential sampling series and its approximation properties. Math Slovaca 67(6):1481\u20131489","journal-title":"Math Slovaca"},{"issue":"6","key":"3522_CR18","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1080\/10652460801936648","volume":"19","author":"C Bardaro","year":"2008","unstructured":"Bardaro C, Karsli H, Vinti G (2008) On pointwise convergence of linear integral operators with homogeneous kernels. Integr Transforms Spec Funct 19(6):429\u2013439","journal-title":"Integr Transforms Spec Funct"},{"issue":"2","key":"3522_CR19","first-page":"25","volume":"20","author":"C Bardaro","year":"2013","unstructured":"Bardaro C, Karsli H, Vinti G (2013) On pointwise convergence of Mellin type nonlinear $$m$$-singular integral operators. Comm Appl Nonlinear Anal 20(2):25\u201339","journal-title":"Comm Appl Nonlinear Anal"},{"issue":"2","key":"3522_CR20","first-page":"143","volume":"6","author":"C Bardaro","year":"2014","unstructured":"Bardaro C, Mantellini I (2014) Asymptotic expansion of generalized Durrmeyer sampling type series. Jaen J Approx 6(2):143\u2013165","journal-title":"Jaen J Approx"},{"issue":"3","key":"3522_CR21","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1007\/s12215-020-00559-6","volume":"70","author":"C Bardaro","year":"2021","unstructured":"Bardaro C, Mantellini I (2021) On a Durrmeyer-type modification of the exponential sampling series. Rend Circ Mat Palermo 70(3):1289\u20131304","journal-title":"Rend Circ Mat Palermo"},{"key":"3522_CR22","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s00025-019-1044-5","volume":"74","author":"C Bardaro","year":"2019","unstructured":"Bardaro C, Mantellini I, Schmeisser G (2019) Exponential sampling series: convergence in Mellin- Lebesgue spaces. Results Math 74:119","journal-title":"Results Math"},{"issue":"1","key":"3522_CR23","first-page":"1","volume":"13","author":"SN Bernstein","year":"1912","unstructured":"Bernstein SN (1912) Demonstration du theoreme de Weierstrass fondee sur le calcul des probabilites. Comm Soc Math Kharkow 13(1):1\u20132","journal-title":"Comm Soc Math Kharkow"},{"key":"3522_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1088\/0266-5611\/7\/1\/003","volume":"7","author":"M Bertero","year":"1991","unstructured":"Bertero M, Pike ER (1991) Exponential sampling method for Laplace and other dilationally invariant transforms I Singular system analysis. II. Examples in photon correction spectroscopy and Frauenhofer diffraction. Inverse Probl 7:1\u201320","journal-title":"Inverse Probl"},{"issue":"3","key":"3522_CR25","doi-asserted-by":"publisher","first-page":"117","DOI":"10.64700\/mmm.30","volume":"2","author":"J Bustamante","year":"2024","unstructured":"Bustamante J (2024) Approximation of bounded functions by positive linear operators. Modern Math Methods 2(3):117\u2013131","journal-title":"Modern Math Methods"},{"key":"3522_CR26","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF02649101","volume":"3","author":"PL Butzer","year":"1997","unstructured":"Butzer PL, Jansche S (1997) A direct approach to the Mellin transform. J Fourier Anal Appl 3:325\u2013375","journal-title":"J Fourier Anal Appl"},{"key":"3522_CR27","unstructured":"Butzer PL, Jansche S (1998) The exponential sampling theorem of signal analysis. Atti Sem Mat Fis Univ Modena p. 99\u2013122, Suppl. Vol. 46, special issue dedicated to Professor Calogero Vinti"},{"key":"3522_CR28","first-page":"55","volume":"52","author":"PL Butzer","year":"1998","unstructured":"Butzer PL, Jansche S (1998) The finite Mellin Transform, Mellin-Fourier series and the Mellin-Poisson summation formula. Rend Circ Mat Palermo 52:55\u201381","journal-title":"Rend Circ Mat Palermo"},{"key":"3522_CR29","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1080\/10652469908819226","volume":"8","author":"PL Butzer","year":"1999","unstructured":"Butzer PL, Jansche S (1999) A self-contained approach to Mellin transform analysis for square integrable functions; applications. Integr Transforms Spec Funct 8:175\u2013198","journal-title":"Integr Transforms Spec Funct"},{"key":"3522_CR30","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/0021-9045(87)90063-3","volume":"50","author":"PL Butzer","year":"1987","unstructured":"Butzer PL, Ries S, Stens RL (1987) Approximation of continuous and discontinuous functions by generalized sampling series. J Approx Theory 50:25\u201339","journal-title":"J Approx Theory"},{"key":"3522_CR31","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/S0019-9958(77)90264-9","volume":"34","author":"PL Butzer","year":"1977","unstructured":"Butzer PL, Splettst\u00f6sser W (1977) A sampling theorem for duration limited functions with error estimates. Inf Control 34:55\u201365","journal-title":"Inf Control"},{"key":"3522_CR32","volume-title":"Optical data processing, volume 23 of Topics in applied physics","author":"D Casasent","year":"1978","unstructured":"Casasent D (1978) Optical signal processing. In: Casasent D (ed) Optical data processing, volume 23 of Topics in applied physics. Springer, Berlin"},{"issue":"1","key":"3522_CR33","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2025.129369","volume":"547","author":"R Corso","year":"2025","unstructured":"Corso R (2025) Generalized sampling operators with derivative samples. J Math Anal Appl 547(1):129369","journal-title":"J Math Anal Appl"},{"issue":"2","key":"3522_CR34","first-page":"45","volume":"7","author":"D Costarelli","year":"2024","unstructured":"Costarelli D, Sambucini AR (2024) A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing. Constr Math Anal 7(2):45\u201368","journal-title":"Constr Math Anal"},{"issue":"4","key":"3522_CR35","first-page":"190","volume":"5","author":"BR Draganov","year":"2022","unstructured":"Draganov BR (2022) A fast converging sampling operator. Constr Math Anal 5(4):190\u2013201","journal-title":"Constr Math Anal"},{"key":"3522_CR36","doi-asserted-by":"crossref","unstructured":"Gori F (1993) Sampling in optics, Advanced topics in shannon sampling and interpolation theory, Springer Texts in Electrical Engineering, Springer, New York","DOI":"10.1007\/978-1-4613-9757-1_2"},{"key":"3522_CR37","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00365-019-09456-3","volume":"51","author":"K Gr\u00f6chenig","year":"2020","unstructured":"Gr\u00f6chenig K, Romero JL, St\u00f6ckler J (2020) Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. Constr Approx 51:1\u201325","journal-title":"Constr Approx"},{"issue":"4","key":"3522_CR38","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1109\/TIT.1956.1056821","volume":"2","author":"DL Jagerman","year":"1956","unstructured":"Jagerman DL, Fogel LJ (1956) Some general aspects of the sampling theorem. IEEE Trans Inf Theory 2(4):139\u2013146","journal-title":"IEEE Trans Inf Theory"},{"issue":"3","key":"3522_CR39","doi-asserted-by":"publisher","first-page":"132","DOI":"10.64700\/mmm.44","volume":"2","author":"H Karsli","year":"2024","unstructured":"Karsli H (2024) Historical Backround of wavelets and orthonormal systems: Recent results on positive linear operators reconstructed via wavelets. Modern Math Methods 2(3):132\u2013154","journal-title":"Modern Math Methods"},{"key":"3522_CR40","unstructured":"Kotel\u2019nikov VA (1933) On the carrying capacity of ether and wire in electrocommunications, Material for the First All-Union Conference on the Questions of Communications, Moscow"},{"issue":"3","key":"3522_CR41","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s00025-020-01241-0","volume":"75","author":"AS Kumar","year":"2020","unstructured":"Kumar AS, Bajpeyi S (2020) Direct and inverse results for Kantorovich type exponential sampling series. Results Math 75(3):119","journal-title":"Results Math"},{"key":"3522_CR42","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/s00025-024-02347-5","volume":"80","author":"AS Kumar","year":"2025","unstructured":"Kumar AS, Yugesh S (2025) A characterization of the convergence in variation for the exponential sampling operators. Results Math 80:29","journal-title":"Results Math"},{"issue":"1","key":"3522_CR43","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/S0019-9958(60)90242-4","volume":"3","author":"DA Linden","year":"1960","unstructured":"Linden DA, Abramson NM (1960) A generalization of the sampling theorem. Inf Control 3(1):26\u201331","journal-title":"Inf Control"},{"key":"3522_CR44","volume-title":"The Mellin transform and approximation theory","author":"RG Mamedov","year":"1991","unstructured":"Mamedov RG (1991) The Mellin transform and approximation theory. Elm, Baku (in Russian)"},{"key":"3522_CR45","first-page":"64","volume":"17","author":"K Ogura","year":"1920","unstructured":"Ogura K (1920) On a certain transcendental integral function in the theory of interpolation. Tohoku Math J 17:64\u201372","journal-title":"Tohoku Math J"},{"issue":"1994","key":"3522_CR46","first-page":"1059","volume":"28","author":"D Ostrowsky","year":"1994","unstructured":"Ostrowsky D, Sornette D, Parker P, Pike ER (1994) Exponential sampling method for lightscattering polydispersity analysis. Opt Acta 28(1994):1059\u20131070","journal-title":"Opt Acta"},{"issue":"6","key":"3522_CR47","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1109\/18.45278","volume":"35","author":"MD Rawn","year":"1989","unstructured":"Rawn MD (1989) A stable nonuniform sampling expansion involving derivatives. IEEE Trans Inform Theory 35(6):1223\u20131227","journal-title":"IEEE Trans Inform Theory"},{"key":"3522_CR48","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1109\/JRPROC.1949.232969","volume":"37","author":"CE Shannon","year":"1949","unstructured":"Shannon CE (1949) Communications in the presence of noise. Proc IRE 37:10\u201321","journal-title":"Proc IRE"},{"key":"3522_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21738-3","volume-title":"Introduction to numerical analysis","author":"J Stoer","year":"2002","unstructured":"Stoer J, Bulirsch R (2002) Introduction to numerical analysis. Springer-Verlang, New York"},{"key":"3522_CR50","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s00009-024-02653-w","volume":"21","author":"M Turgay","year":"2024","unstructured":"Turgay M, Acar T (2024) Approximation by modified generalized sampling series. Mediterr J Math 21:107","journal-title":"Mediterr J Math"},{"key":"3522_CR51","doi-asserted-by":"crossref","unstructured":"Turgay M, Acar T (2025) Modified sampling Kantorovich operators in weighted spaces of functions, Filomat, Accepted","DOI":"10.35378\/gujs.1774177"},{"key":"3522_CR52","doi-asserted-by":"publisher","DOI":"10.1002\/mma.70025","author":"M Turgay","year":"2025","unstructured":"Turgay M, Acar T (2025) A new generalization of bivariate sampling Kantorovich operators and applications to image processing. Math Methods Appl Sci. https:\/\/doi.org\/10.1002\/mma.70025","journal-title":"Math Methods Appl Sci"},{"key":"3522_CR53","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1017\/S0370164600017806","volume":"35","author":"ET Whittaker","year":"1915","unstructured":"Whittaker ET (1915) On the functions, which are represented by expansions of the interpolation theory. Proc R Soc Edinb A 35:181\u2013194","journal-title":"Proc R Soc Edinb A"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03522-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-025-03522-2","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03522-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T16:06:35Z","timestamp":1778688395000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-025-03522-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,18]]},"references-count":53,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2026,5]]}},"alternative-id":["3522"],"URL":"https:\/\/doi.org\/10.1007\/s40314-025-03522-2","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,18]]},"assertion":[{"value":"31 August 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 October 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 November 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 December 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"131"}}