{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T11:00:41Z","timestamp":1780225241021,"version":"3.54.0"},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1016\/j.cam.2026.117756","type":"journal-article","created":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T06:51:41Z","timestamp":1777531901000},"page":"117756","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Approximating functions on R+ by exponential sums"],"prefix":"10.1016","volume":"487","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4010-0578","authenticated-orcid":false,"given":"Alexey","family":"Kuznetsov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Armin","family":"Mohammadioroojeh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.cam.2026.117756_bib0001","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.acha.2005.01.003","article-title":"On approximation of functions by exponential sums","volume":"19","author":"Beylkin","year":"2005","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0002","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.acha.2009.08.011","article-title":"Approximation by exponential sums revisited","volume":"28","author":"Beylkin","year":"2010","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"10.1016\/j.cam.2026.117756_bib0003","article-title":"Tensor Spaces and Numerical Tensor Calculus","volume":"56","author":"Hackbusch","year":"2019"},{"issue":"1","key":"10.1016\/j.cam.2026.117756_bib0004","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4208\/cicp.OA-2021-0031","article-title":"Approximating the Gaussian as a sum of exponentials and its applications to the fast gauss transform","volume":"31","author":"Jiang","year":"2022","journal-title":"Commun. Comput. Phys."},{"key":"10.1016\/j.cam.2026.117756_bib0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2022.114270","article-title":"Computing the Barnes G-function and the gamma function in the entire complex plane","volume":"411","author":"Kuznetsov","year":"2022","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117756_bib0006","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1186\/s12859-018-2473-y","article-title":"Coding Prony\u2019s method in MATLAB and applying it to biomedical signal filtering","volume":"19","author":"Fernandez Rodriguez","year":"2018","journal-title":"BMC Bioinform."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0007","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1002\/gamm.201410011","article-title":"Prony methods for recovery of structured functions","volume":"37","author":"Plonka","year":"2014","journal-title":"GAMM-Mitt."},{"key":"10.1016\/j.cam.2026.117756_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.acha.2024.101687","article-title":"On the accuracy of Prony\u2019s method for recovery of exponential sums with closely spaced exponents","volume":"73","author":"Katz","year":"2024","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"1","key":"10.1016\/j.cam.2026.117756_bib0009","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1137\/0916008","article-title":"A modified Prony algorithm for exponential function fitting","volume":"16","author":"Osborne","year":"1995","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0010","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/s00365-020-09501-6","article-title":"The generalized operator based prony method","volume":"52","author":"Stampfer","year":"2020","journal-title":"Constr. Approx."},{"issue":"5","key":"10.1016\/j.cam.2026.117756_bib0011","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1109\/29.56027","article-title":"Matrix pencil method for estimating parameters of exponentially damped\/undamped sinusoids in noise","volume":"38","author":"Hua","year":"1990","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"3","key":"10.1016\/j.cam.2026.117756_bib0012","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1109\/TAP.1986.1143830","article-title":"Multiple emitter location and signal parameter estimation","volume":"34","author":"Schmidt","year":"1986","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"7","key":"10.1016\/j.cam.2026.117756_bib0013","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1109\/29.32276","article-title":"ESPRIT \u2013 Estimation Of signal parameters via rotational invariance techniques","volume":"37","author":"Roy","year":"1989","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0014","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1093\/imanum\/drab108","article-title":"From ESPRIT to ESPIRA: estimation of signal parameters by iterative rational approximation","volume":"43","author":"Derevianko","year":"2023","journal-title":"IMA J. Numer. Anal."},{"issue":"4","key":"10.1016\/j.cam.2026.117756_bib0015","doi-asserted-by":"crossref","first-page":"1024","DOI":"10.1016\/j.laa.2012.10.036","article-title":"Parameter estimation for nonincreasing exponential sums by Prony-like methods","volume":"439","author":"Potts","year":"2013","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/j.cam.2026.117756_bib0016","series-title":"Spectral Analysis of Signals","author":"Stoica","year":"2005"},{"issue":"1","key":"10.1016\/j.cam.2026.117756_bib0017","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1137\/0110013","article-title":"Chebyshev approximation by exponentials","volume":"10","author":"Rice","year":"1962","journal-title":"J. Soc. Ind. Appl. Math."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0018","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/0021-9045(73)90105-6","article-title":"Characterization of best approximations by sums of exponentials","volume":"9","author":"Kammler","year":"1973","journal-title":"J. Approx. Theory"},{"issue":"5","key":"10.1016\/j.cam.2026.117756_bib0019","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1137\/0716060","article-title":"Least squares approximation of completely monotonic functions by sums of exponentials","volume":"16","author":"Kammler","year":"1979","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117756_bib0020","series-title":"Multiscale, Nonlinear and Adaptive Approximation","first-page":"39","article-title":"On the efficient computation of high-dimensional integrals and the approximation by exponential sums","author":"Braess","year":"2009"},{"key":"10.1016\/j.cam.2026.117756_bib0021","series-title":"Contemporary Computational Mathematics - a Celebration of the 80th Birthday of Ian Sloan","first-page":"911","article-title":"Exponential sum approximations for t\u2212\u03b2","author":"McLean","year":"2018"},{"key":"10.1016\/j.cam.2026.117756_bib0022","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00791-018-00308-4","article-title":"Computation of best L\u221e exponential sums for 1\/x by Remez\u2019 algorithm","volume":"20","author":"Hackbusch","year":"2019","journal-title":"Comput. Vis. Sci."},{"key":"10.1016\/j.cam.2026.117756_bib0023","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1134\/S0965542520010078","article-title":"High accuracy trigonometric approximations of the real bessel functions of the first kind","volume":"60","author":"Cuyt","year":"2020","journal-title":"Comput. Math. Math. Phys."},{"key":"10.1016\/j.cam.2026.117756_bib0024","unstructured":"N. Derevianko, G. Plonka, Differential approximation of the Gaussian by short cosine sums with exponential error decay, (2023). arXiv: 2307.13587."},{"key":"10.1016\/j.cam.2026.117756_bib0025","first-page":"36","article-title":"Analytical valuation and hedging of variable annuity guaranteed lifetime withdrawal benefits","volume":"72","author":"Feng","year":"2017","journal-title":"Insurance"},{"key":"10.1016\/j.cam.2026.117756_bib0026","article-title":"An exponential approximation to the hockey stick function","author":"Iscoe","year":"2010","journal-title":"Preprint"},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0027","doi-asserted-by":"crossref","first-page":"185","DOI":"10.4153\/CJM-1972-016-0","article-title":"Generalization of Watson\u2019s Lemma","volume":"24","author":"Wong","year":"1972","journal-title":"Can. J. Math."},{"key":"10.1016\/j.cam.2026.117756_bib0028","article-title":"Pad\u00e9 Approximants, Part II: Extensions and Applications","volume":"14","author":"Baker","year":"1981"},{"key":"10.1016\/j.cam.2026.117756_bib0029","series-title":"Continued Fractions and Signal Processing","author":"Sauer","year":"2021"},{"key":"10.1016\/j.cam.2026.117756_bib0030","article-title":"Pad\u00e9 Approximants, Part I: Basic Theory","author":"Baker","year":"1981"},{"key":"10.1016\/j.cam.2026.117756_bib0031","unstructured":"D.H. Bailey, MPFUN2020: a thread-safe arbitrary precision package with special functions (2020). https:\/\/www.davidhbailey.com\/dhbsoftware\/."},{"issue":"122","key":"10.1016\/j.cam.2026.117756_bib0032","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1090\/S0025-5718-1973-0329236-7","article-title":"Iteration methods for finding all zeros of a polynomial simultaneously","volume":"27","author":"Aberth","year":"1973","journal-title":"Math. Comput."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0033","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1145\/363067.363115","article-title":"A modified Newton method for polynomials","volume":"10","author":"Ehrlich","year":"1967","journal-title":"Commun. ACM"},{"key":"10.1016\/j.cam.2026.117756_bib0034","doi-asserted-by":"crossref","first-page":"721","DOI":"10.2977\/prims\/1195192451","article-title":"Double exponential formula for numerical integration","volume":"9","author":"Takahasi","year":"1974","journal-title":"Publ. RIMS, Kyoto Univ."},{"issue":"4","key":"10.1016\/j.cam.2026.117756_bib0035","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1515\/156939506779874626","volume":"14","author":"Kunis","year":"2006","journal-title":"J. Numer. Math."},{"key":"10.1016\/j.cam.2026.117756_bib0036","article-title":"NIST digital library of mathematical functions","year":"2025","journal-title":"Release 1.2.2 of 2024-09-15, F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain, eds."},{"issue":"2","key":"10.1016\/j.cam.2026.117756_bib0037","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1016\/j.spa.2018.03.011","article-title":"Exponential functionals of L\u00e9vy processes and variable annuity guaranteed benefits","volume":"129","author":"Feng","year":"2019","journal-title":"Stoch. Process. Appl."}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726003985?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726003985?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T10:04:17Z","timestamp":1780221857000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042726003985"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,12]]},"references-count":37,"alternative-id":["S0377042726003985"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2026.117756","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Approximating functions on by exponential sums","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2026.117756","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"117756"}}