{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T11:26:09Z","timestamp":1648639569907},"reference-count":18,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2007,4,1]],"date-time":"2007-04-01T00:00:00Z","timestamp":1175385600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":2299,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Approximation Theory"],"published-print":{"date-parts":[[2007,4]]},"DOI":"10.1016\/j.jat.2006.09.004","type":"journal-article","created":{"date-parts":[[2006,11,1]],"date-time":"2006-11-01T01:25:28Z","timestamp":1162344328000},"page":"253-265","source":"Crossref","is-referenced-by-count":2,"title":["On real-analytic recurrence relations for cardinal exponential B-splines"],"prefix":"10.1016","volume":"145","author":[{"given":"J.M.","family":"Aldaz","sequence":"first","affiliation":[]},{"given":"O.","family":"Kounchev","sequence":"additional","affiliation":[]},{"given":"H.","family":"Render","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.jat.2006.09.004_bib1","unstructured":"K. Alexiev, O. Kounchev, H. Render, Stable recurrence relations for a class of L-splines and for polysplines, Geometric Modeling and Computing: Seattle 2003, pp. 1\u201312, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2004."},{"key":"10.1016\/j.jat.2006.09.004_bib2","series-title":"An Introduction to Wavelets","author":"Chui","year":"1992"},{"key":"10.1016\/j.jat.2006.09.004_bib3","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1093\/imamat\/10.2.134","article-title":"The numerical evaluation of B-splines","volume":"10","author":"Cox","year":"1972","journal-title":"J. Inst. Math. Appl."},{"key":"10.1016\/j.jat.2006.09.004_bib4","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/0021-9045(72)90080-9","article-title":"On calculating with B-splines","volume":"6","author":"De Boor","year":"1972","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jat.2006.09.004_bib5","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1007\/BF02791121","article-title":"Recurrence relations for Tchebycheffian B-splines","volume":"51","author":"Dyn","year":"1988","journal-title":"J. Anal. Math."},{"key":"10.1016\/j.jat.2006.09.004_bib6","first-page":"1","article-title":"Cardinal translation invariant Tchebycheffian B-splines","volume":"62","author":"Dyn","year":"1990","journal-title":"Approx. Theory Appl."},{"key":"10.1016\/j.jat.2006.09.004_bib7","series-title":"Multivariate Polysplines. Applications to Numerical and Wavelet Analysis","author":"Kounchev","year":"2001"},{"key":"10.1016\/j.jat.2006.09.004_bib8","unstructured":"O.I. Kounchev, H. Render, Wavelet analysis of cardinal L-splines and construction of multivariate prewavelets, in: Proceedings 10th International Conference on Approximation Theory, St. Louis, MO, March 26\u201329, 2001."},{"key":"10.1016\/j.jat.2006.09.004_bib9","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1090\/S0002-9939-03-07069-2","article-title":"The Approximation order of polysplines","volume":"132","author":"Kounchev","year":"2004","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/j.jat.2006.09.004_bib10","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0021-9045(85)90111-X","article-title":"On the Recurrence relations for B-splines defined by certain L-splines","volume":"43","author":"Li","year":"1985","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jat.2006.09.004_bib11","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1016\/0021-9045(79)90017-0","article-title":"A stable recurrence relation for trigonometric B-splines","volume":"25","author":"Lyche","year":"1979","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jat.2006.09.004_bib12","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/BF01890028","article-title":"A recurrence relation for Chebyshevian B-splines","volume":"1","author":"Lyche","year":"1985","journal-title":"Constr. Approx."},{"key":"10.1016\/j.jat.2006.09.004_bib13","series-title":"Studies in Spline Functions and Approximation Theory","first-page":"203","article-title":"Cardinal L-splines","author":"Micchelli","year":"1976"},{"key":"10.1016\/j.jat.2006.09.004_bib14","series-title":"Spline Functions: Basic Theory","author":"Schumaker","year":"1981"},{"key":"10.1016\/j.jat.2006.09.004_bib15","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/0021-9045(82)90067-3","article-title":"On recursions for generalized splines","volume":"36","author":"Schumaker","year":"1982","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jat.2006.09.004_bib16","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/0021-9045(83)90121-1","article-title":"On hyperbolic splines","volume":"38","author":"Schumaker","year":"1983","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jat.2006.09.004_bib17","doi-asserted-by":"crossref","first-page":"1425","DOI":"10.1109\/TSP.2005.843700","article-title":"Cardinal exponential splines: Part I\u2014theory and filtering algorithms","volume":"53","author":"Unser","year":"2005","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/j.jat.2006.09.004_bib18","series-title":"Recursions for Tchebycheff B-Splines and their Jumps, Approximation Theory, Wavelets and Applications","first-page":"543","author":"Xu","year":"1995"}],"container-title":["Journal of Approximation Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904506001717?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904506001717?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,11]],"date-time":"2019-01-11T20:55:17Z","timestamp":1547240117000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0021904506001717"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,4]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,4]]}},"alternative-id":["S0021904506001717"],"URL":"https:\/\/doi.org\/10.1016\/j.jat.2006.09.004","relation":{},"ISSN":["0021-9045"],"issn-type":[{"value":"0021-9045","type":"print"}],"subject":[],"published":{"date-parts":[[2007,4]]}}}