{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T15:54:26Z","timestamp":1772553266480,"version":"3.50.1"},"reference-count":48,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.cam.2026.117454","type":"journal-article","created":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T23:33:46Z","timestamp":1771112026000},"page":"117454","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Non-orthogonal interpolation on closed interval and convergence"],"prefix":"10.1016","volume":"484","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1691-9869","authenticated-orcid":false,"given":"Guo Qiu","family":"Wang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0000-2482-474X","authenticated-orcid":false,"given":"Wei","family":"Liang","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2026.117454_bib0001","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1137\/S003614299630587X","article-title":"From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex","volume":"35","author":"Hesthaven","year":"1998","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117454_bib0002","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.apnum.2015.12.002","article-title":"The chebyshev points of the first kind","volume":"102","author":"Xu","year":"2016","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0003","doi-asserted-by":"crossref","first-page":"1266","DOI":"10.22331\/q-2024-02-26-1266","article-title":"Improved accuracy for trotter simulations using chebyshev interpolation","volume":"8","author":"Rendon","year":"2024","journal-title":"Quantum"},{"key":"10.1016\/j.cam.2026.117454_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.engstruct.2024.117676","article-title":"A modified chebyshev collocation method for the generalized probability density evolution equation","volume":"305","author":"Tian","year":"2024","journal-title":"Eng. Struct."},{"key":"10.1016\/j.cam.2026.117454_bib0005","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1137\/0717043","article-title":"Evaluation of lebesgue constants","volume":"17","author":"G\u00fcnttner","year":"1980","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117454_bib0006","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1137\/0725030","article-title":"On asymptotics for the uniform norms of the lagrange interpolation polynomials corresponding to extended chebyshev nodes","volume":"25","author":"G\u00fcnttner","year":"1988","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"10.1016\/j.cam.2026.117454_bib0007","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.jmaa.2024.128142","article-title":"Optimal hermite-Fej\u00e9r interpolation of algebraic polynomials and the best one-sided approximation on the interval [-1,1]","volume":"536","author":"Liu","year":"2024","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.cam.2026.117454_bib0008","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1090\/mcom\/3018","article-title":"On node distributions for interpolation and spectral methods","volume":"85","author":"Hoang","year":"2013","journal-title":"Math. Comput."},{"key":"10.1016\/j.cam.2026.117454_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.jocs.2025.102654","article-title":"A pseudospectral method for time-fractional PDEs with shifted chebyshev and lagrange interpolating polynomials on overlapping decomposed domains","volume":"90","author":"Mukwevho","year":"2025","journal-title":"J. Comput. Sci."},{"key":"10.1016\/j.cam.2026.117454_bib0010","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF01385500","article-title":"The lebesgue constant for lagrange interpolation on equidistant nodes","volume":"61","author":"Mills","year":"1996","journal-title":"Numer. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0011","first-page":"111","article-title":"Lebesgue functions for polynomial interpolation - a survey","volume":"4","author":"Brutman","year":"1997","journal-title":"Ann. Numer. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0012","first-page":"117","article-title":"The bounding of polynomials prescribed at equally distributed points","volume":"3","author":"Turetskii","year":"1940","journal-title":"Proc. Pedag. Inst. Vitebsk."},{"key":"10.1016\/j.cam.2026.117454_bib0013","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1515\/crll.1910.138.22","article-title":"Lebeguesche konstanten und divergente fourierreihen","volume":"138","author":"Fej\u00e9r","year":"1910","journal-title":"J. Reine Angew. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0014","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/BF01982005","article-title":"On asymptotics and estimates for the uniform norms of the lagrange interpolation polynomials corresponding to the chebyshev nodal points","volume":"9","author":"Dzjadik","year":"1983","journal-title":"Anal. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0015","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1093\/comjnl\/9.4.404","article-title":"On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria","volume":"9","author":"Powell","year":"1967","journal-title":"Comput. J."},{"key":"10.1016\/j.cam.2026.117454_bib0016","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1090\/S0025-5718-1982-0658223-X","article-title":"Asymptotic expansion of the lebesgue constants associated with polynomial interpolation","volume":"39","author":"Shivakumar","year":"1982","journal-title":"Math. Comput."},{"issue":"4","key":"10.1016\/j.cam.2026.117454_bib0017","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1007\/BF01933407","article-title":"On a certain class of lebesgue constants","volume":"13","author":"Mccabe","year":"1973","journal-title":"BIT"},{"key":"10.1016\/j.cam.2026.117454_bib0018","first-page":"109","article-title":"Lebesgue constants in polynomial interpolation","volume":"33","author":"Smith","year":"2006","journal-title":"Annales Mathematicae et Inf."},{"key":"10.1016\/j.cam.2026.117454_bib0019","doi-asserted-by":"crossref","first-page":"694","DOI":"10.1137\/0715046","article-title":"On the lebesgue function for polynomial interpolation","volume":"15","author":"Brutman","year":"1978","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117454_bib0020","doi-asserted-by":"crossref","first-page":"1322","DOI":"10.1137\/0727075","article-title":"Optimal lebesgue constant for lagrange interpolation","volume":"27","author":"V\u00e9rtesi","year":"1990","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117454_bib0021","first-page":"158","article-title":"Divergence (runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation","volume":"210","author":"Boyd","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.cam.2026.117454_bib0022","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.cam.2014.11.032","article-title":"On the constrained mock-Chebyshev least-squares","volume":"280","author":"Marchi","year":"2014","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0023","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2024.116010","article-title":"An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials","volume":"450","author":"Dell\u2019accio","year":"2024","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0024","doi-asserted-by":"crossref","DOI":"10.1016\/j.aml.2021.107732","article-title":"Generalizations of the constrained mock chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation","volume":"125","author":"Dell\u2019accio","year":"2022","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/j.cam.2026.117454_bib0025","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s10444-025-10267-3","article-title":"An interpolation-regression approach for function approximation on the disk and its application to cubature formulas","volume":"51","author":"Dell\u2019accio","year":"2025","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2025.116859","article-title":"New results on the constrained mock-Chebyshev least squares operator","volume":"473","author":"Dell\u2019accio","year":"2026","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0027","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s10915-025-02977-z","article-title":"Polynomial histopolation on mock chebyshev segments","volume":"104","author":"Bruno","year":"2025","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.cam.2026.117454_bib0028","series-title":"Interpolation Processes, Basic Theory and Applications","author":"Mastroianni","year":"2008"},{"key":"10.1016\/j.cam.2026.117454_bib0029","doi-asserted-by":"crossref","first-page":"142","DOI":"10.2307\/1968516","article-title":"On interpolation i","volume":"38","author":"Erd\u00f6s","year":"1937","journal-title":"Ann. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0030","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF01889904","article-title":"Mean convergence of orthogonal series and lagrange interpolation","volume":"23","author":"Askey","year":"1972","journal-title":"Acta Mathematica Academiae Scientiarum Hungarica"},{"key":"10.1016\/j.cam.2026.117454_bib0031","series-title":"Spectral Methods: Fundamentals in Single Domains","author":"Canuto","year":"2006"},{"issue":"1","key":"10.1016\/j.cam.2026.117454_bib0032","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.cam.2006.01.030","article-title":"A spectral collocation method based on integrated chebyshev polynomials for two-dimensional biharmonic boundary-value problems","volume":"201","author":"Mai-Duy","year":"2007","journal-title":"J. Comput. Appl. Math."},{"issue":"4","key":"10.1016\/j.cam.2026.117454_bib0033","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1007\/s10543-012-0381-5","article-title":"Chebyshev interpolation for nonlinear eigenvalue problems","volume":"52","author":"Effenberger","year":"2012","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0034","first-page":"190","volume":"23","author":"Faber","year":"1914","journal-title":"\u00dcber die interpolatorische Darstellung stetiger Funktionen"},{"key":"10.1016\/j.cam.2026.117454_bib0035","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/BF02020269","article-title":"Problems and results on the theory of interpolation. i","volume":"9","author":"Erd\u00f6s","year":"1958","journal-title":"Acta Mathematica Academiae Scientiarum Hungaricae"},{"key":"10.1016\/j.cam.2026.117454_bib0036","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF01897094","article-title":"On the almost everywhere divergence of lagrange interpolatory polynomials for arbitrary system of nodes","volume":"36","author":"Erd\u00f6s","year":"1980","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"10.1016\/j.cam.2026.117454_bib0037","doi-asserted-by":"crossref","first-page":"908","DOI":"10.2307\/1968627","article-title":"\u00dcber divergenzerscheinungen der lagrangeschen interpolationspolynome stetiger funktionen","volume":"37","author":"Gr\u00fcnwald","year":"1936","journal-title":"Ann. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0038","article-title":"Chebyshev polynomials in numerical analysis","volume":"54","author":"Fox","year":"1970","journal-title":"Math. Gazette"},{"key":"10.1016\/j.cam.2026.117454_bib0039","series-title":"Classical Orthogonal Polynomials of a Discrete Variable","author":"Nikiforov","year":"1991"},{"key":"10.1016\/j.cam.2026.117454_bib0040","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1023\/A:1020432812090","article-title":"Duality of orthogonal polynomials on a finite set","volume":"109","author":"Borodin","year":"2001","journal-title":"J. Stat. Phys."},{"key":"10.1016\/j.cam.2026.117454_bib0041","first-page":"99","article-title":"Optimal multi-bank haar wavelets and their application in image compression","volume":"31","author":"Wang","year":"2009","journal-title":"Math. Numer. Sinica"},{"key":"10.1016\/j.cam.2026.117454_bib0042","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cam.2019.112390","article-title":"Complete factorization for poly-phase matrix with linear phase based on semi-rank orthogonal projection matrix","volume":"366","author":"Wang","year":"2020","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117454_bib0043","series-title":"Chebyshev polynomials: from approximation theory to algebra and number theory","author":"Rivlin","year":"1990"},{"key":"10.1016\/j.cam.2026.117454_bib0044","series-title":"Theory of approximation of functions of a real variable","author":"Timan","year":"2014"},{"key":"10.1016\/j.cam.2026.117454_bib0045","series-title":"Introduction to real analysis","author":"Bartle","year":"2000"},{"key":"10.1016\/j.cam.2026.117454_bib0046","series-title":"An introduction to the approximation of functions","author":"Rivlin","year":"1969"},{"key":"10.1016\/j.cam.2026.117454_bib0047","series-title":"A theoretical introduction to numerical analysis","author":"Ryaben","year":"2006"},{"key":"10.1016\/j.cam.2026.117454_bib0048","series-title":"Theory of approximation","author":"Jackson","year":"1958"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001196?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001196?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T12:55:09Z","timestamp":1772542509000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042726001196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":48,"alternative-id":["S0377042726001196"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2026.117454","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Non-orthogonal interpolation on closed interval and convergence","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.2026.117454","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":"117454"}}