{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T03:22:57Z","timestamp":1764645777150,"version":"3.40.5"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T00:00:00Z","timestamp":1743638400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T00:00:00Z","timestamp":1743638400000},"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":[[2025,7]]},"DOI":"10.1007\/s40314-025-03174-2","type":"journal-article","created":{"date-parts":[[2025,4,5]],"date-time":"2025-04-05T01:44:35Z","timestamp":1743817475000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A new class of gamma-type operator and its improvement: theory and numerical experiments"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1924-3531","authenticated-orcid":false,"given":"Hassan","family":"Khosravian-Arab","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2573-9755","authenticated-orcid":false,"given":"Mehdi","family":"Dehghan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,4,3]]},"reference":[{"key":"3174_CR1","volume-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables, Volume No. 55 of National Bureau of Standards Applied Mathematics Series","author":"M Abramowitz","year":"1964","unstructured":"Abramowitz M, Stegun IA (1964) Handbook of mathematical functions with formulas, graphs, and mathematical tables, Volume No. 55 of National Bureau of Standards Applied Mathematics Series. U. S. Government Printing Office, Washington, DC"},{"key":"3174_CR2","doi-asserted-by":"publisher","DOI":"10.1515\/9783110884586","volume-title":"Korovkin-type approximation theory and its applications, vol 17. De Gruyter Studies in Mathematics","author":"F Altomare","year":"1994","unstructured":"Altomare F, Campiti M (1994) Korovkin-type approximation theory and its applications, vol 17. De Gruyter Studies in Mathematics. Walter de Gruyter & Co., Berlin"},{"issue":"1","key":"3174_CR3","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.aml.2011.07.009","volume":"25","author":"A Aral","year":"2012","unstructured":"Aral A, Gupta V (2012) On the $$q$$ analogue of Stancu-beta operators. Appl Math Lett 25(1):67\u201371","journal-title":"Appl Math Lett"},{"key":"3174_CR4","volume-title":"Interpolation and approximation","author":"PJ Davis","year":"1975","unstructured":"Davis PJ (1975) Interpolation and approximation. Dover Publications Inc, New York"},{"key":"3174_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/9781108591034","volume-title":"Probability: theory and examples, Volume No. 49 of Cambridge Series in Statistical and Probabilistic Mathematics","author":"R Durrett","year":"2019","unstructured":"Durrett R (2019) Probability: theory and examples, Volume No. 49 of Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge"},{"issue":"3","key":"3174_CR6","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1007\/s10587-010-0049-8","volume":"60(135)","author":"H Gonska","year":"2010","unstructured":"Gonska H, P\u0103lt\u0103nea R (2010) Simultaneous approximation by a class of Bernstein\u2013Durrmeyer operators preserving linear functions. Czechoslov Math J 60(135)(3):783\u2013799","journal-title":"Czechoslov Math J"},{"key":"3174_CR7","volume-title":"Table of integrals, series, and products","author":"IS Gradshteyn","year":"2015","unstructured":"Gradshteyn IS, Ryzhik IM (2015) Table of integrals, series, and products, 8th edn. Elsevier\/Academic Press, Amsterdam","edition":"8"},{"key":"3174_CR8","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1007\/s13398-023-01413-x","volume":"117","author":"V Gupta","year":"2023","unstructured":"Gupta V (2023) A form of gamma operator due to Rathore. Rev R Acad Cienc Exactas F\u00eds Nat Ser A Mat RACSAM 117:81","journal-title":"Rev R Acad Cienc Exactas F\u00eds Nat Ser A Mat RACSAM"},{"key":"3174_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-02765-4","volume-title":"Convergence estimates in approximation theory","author":"V Gupta","year":"2014","unstructured":"Gupta V, Agarwal RP (2014) Convergence estimates in approximation theory. Springer, Cham"},{"key":"3174_CR10","series-title":"SpringerBriefs in mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-19455-0","volume-title":"Moments of linear positive operators and approximation","author":"V Gupta","year":"2019","unstructured":"Gupta V, Rassias MTh (2019) Moments of linear positive operators and approximation. SpringerBriefs in mathematics. Springer, Cham"},{"key":"3174_CR11","series-title":"SpringerBriefs in mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-85563-5","volume-title":"Computation and approximation","author":"V Gupta","year":"2021","unstructured":"Gupta V, Rassias MTh (2021) Computation and approximation. SpringerBriefs in mathematics. Springer, Cham"},{"key":"3174_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-58795-0","volume-title":"Approximation with positive linear operators and linear combinations, Volume No. 50 of Developments in mathematics","author":"V Gupta","year":"2017","unstructured":"Gupta V, Tachev G (2017) Approximation with positive linear operators and linear combinations, Volume No. 50 of Developments in mathematics. Springer, Cham"},{"key":"3174_CR13","volume-title":"Recent advances in constructive approximation theory, Volume No. 138 of Springer optimization and its applications","author":"V Gupta","year":"2018","unstructured":"Gupta V, Rassias TM, Agrawal PN, Acu AM (2018) Recent advances in constructive approximation theory, Volume No. 138 of Springer optimization and its applications. Springer, Cham"},{"issue":"1","key":"3174_CR14","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1007\/s11075-018-0538-7","volume":"81","author":"V Gupta","year":"2019","unstructured":"Gupta V, Tachev G, Acu AM (2019) Modified Kantorovich operators with better approximation properties. Numer Algorithms 81(1):125\u2013149","journal-title":"Numer Algorithms"},{"issue":"1","key":"3174_CR15","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s11075-017-0307-z","volume":"77","author":"H Khosravian-Arab","year":"2018","unstructured":"Khosravian-Arab H, Dehghan M, Eslahchi MR (2018) A new approach to improve the order of approximation of the Bernstein operators: theory and applications. Numer Algorithms 77(1):111\u2013150","journal-title":"Numer Algorithms"},{"key":"3174_CR16","unstructured":"Korovkin PP (1960) Linear operators and approximation theory, volume III of Russian monographs and texts on advanced mathematics and physics. Gordon and Breach Publishers, Inc., New York; Hindustan Publishing Corp. (India), Delhi"},{"key":"3174_CR17","volume-title":"Bernstein polynomials","author":"GG Lorentz","year":"1986","unstructured":"Lorentz GG (1986) Bernstein polynomials, 2nd edn. Chelsea Publishing Co., New York","edition":"2"},{"key":"3174_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2058-9","volume-title":"Approximation theory using positive linear operators","author":"R P\u0103lt\u0103nea","year":"2004","unstructured":"P\u0103lt\u0103nea R (2004) Approximation theory using positive linear operators. Birkh\u00e4user Boston Inc, Boston, MA"},{"key":"3174_CR19","series-title":"Dover books on advanced mathematics","volume-title":"An introduction to the approximation of functions","author":"TJ Rivlin","year":"1981","unstructured":"Rivlin TJ (1981) An introduction to the approximation of functions. Dover books on advanced mathematics. Dover Publications Inc, New York"},{"key":"3174_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71041-7","volume-title":"Spectral methods: algorithms, analysis and applications, Volume No.\u00a041 of Springer series in computational mathematics","author":"J Shen","year":"2011","unstructured":"Shen J, Tang T, Wang LL (2011) Spectral methods: algorithms, analysis and applications, Volume No.\u00a041 of Springer series in computational mathematics. Springer, Heidelberg"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03174-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-025-03174-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03174-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,19]],"date-time":"2025-05-19T14:10:46Z","timestamp":1747663846000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-025-03174-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,3]]},"references-count":20,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,7]]}},"alternative-id":["3174"],"URL":"https:\/\/doi.org\/10.1007\/s40314-025-03174-2","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2025,4,3]]},"assertion":[{"value":"20 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 February 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 March 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 April 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"211"}}