{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T13:10:42Z","timestamp":1773321042863,"version":"3.50.1"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,5,29]],"date-time":"2010-05-29T00:00:00Z","timestamp":1275091200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2011,5]]},"DOI":"10.1007\/s00211-010-0312-9","type":"journal-article","created":{"date-parts":[[2010,5,28]],"date-time":"2010-05-28T05:27:35Z","timestamp":1275024455000},"page":"79-108","source":"Crossref","is-referenced-by-count":18,"title":["Quasi Extended Chebyshev spaces and weight functions"],"prefix":"10.1007","volume":"118","author":[{"given":"Marie-Laurence","family":"Mazure","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,5,29]]},"reference":[{"key":"312_CR1","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1016\/0167-8396(94)90056-6","volume":"11","author":"J.-M. Carnicer","year":"1994","unstructured":"Carnicer J.-M., Pe\u00f1a J.-M.: Totally positive bases for shape preserving curve design and optimality of B-splines. Comp. Aided Geom. Des. 11, 633\u2013654 (1994)","journal-title":"Comp. Aided Geom. Des."},{"key":"312_CR2","doi-asserted-by":"crossref","unstructured":"Carnicer, J.-M., Pe\u00f1a, J.-M.: Total positivity and optimal bases. In: Gasca, M., Micchelli, C.A. (eds.) Total Positivity and its Applications, pp 133\u2013155. Kluwer (1996)","DOI":"10.1007\/978-94-015-8674-0_8"},{"key":"312_CR3","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/s00365-002-0530-1","volume":"20","author":"J.-M. Carnicer","year":"2004","unstructured":"Carnicer J.-M., Mainar E., Pe\u00f1a J.-M.: Critical length for design purposes and extended chebyshev spaces. Constr. Approx. 20, 55\u201371 (2004)","journal-title":"Constr. Approx."},{"key":"312_CR4","doi-asserted-by":"crossref","unstructured":"Coppel, W.A.: Disconjugacy, Lecture Notes in Mathematics, vol. 220, Springer, Berlin (1971)","DOI":"10.1007\/BFb0058618"},{"key":"312_CR5","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1090\/S0025-5718-1986-0815841-7","volume":"46","author":"P. Costantini","year":"1986","unstructured":"Costantini P.: On monotone and convex spline interpolation. Math. Comp. 46, 203\u2013214 (1986)","journal-title":"Math. Comp."},{"key":"312_CR6","doi-asserted-by":"crossref","unstructured":"Costantini, P.: Shape preserving interpolation with variable degree polynomial splines. In: Hoscheck, J., Kaklis, P. (eds.) Advanced Course on FAIRSHAPE, pp 87\u2013114. B.G. Teubner, Stuttgart (1996)","DOI":"10.1007\/978-3-322-82969-6_8"},{"key":"312_CR7","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/S0167-8396(00)00010-8","volume":"17","author":"P. Costantini","year":"2000","unstructured":"Costantini P.: Curve and surface construction using variable degree polynomial splines. Comp. Aided Geom. Des 17, 419\u2013446 (2000)","journal-title":"Comp. Aided Geom. Des"},{"key":"312_CR8","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s00211-005-0613-6","volume":"101","author":"P. Costantini","year":"2005","unstructured":"Costantini P., Lyche T., Manni C.: On a class of weak Tchebycheff systems. Numer. Math. 101, 333\u2013354 (2005)","journal-title":"Numer. Math."},{"key":"312_CR9","doi-asserted-by":"crossref","unstructured":"Goodman, T.N.T.: Total positivity and the shape of curves. In: Gasca, M., Micchelli, C.A. (eds.) Total Positivity and its Applications, pp 157\u2013186, Kluwer (1996)","DOI":"10.1007\/978-94-015-8674-0_9"},{"key":"312_CR10","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1006\/jath.2000.3529","volume":"109","author":"T.N.T. Goodman","year":"2001","unstructured":"Goodman T.N.T., Mazure M.-L.: Blossoming beyond extended Chebyshev spaces. J. Approx. Theory 109, 48\u201381 (2001)","journal-title":"J. Approx. Theory"},{"key":"312_CR11","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1093\/imanum\/10.2.223","volume":"10","author":"P.D. Kaklis","year":"1990","unstructured":"Kaklis P.D., Pandelis D.G.: Convexity preserving polynomial splines of non-uniform degree. IMA J. Num. Anal. 10, 223\u2013234 (1990)","journal-title":"IMA J. Num. Anal."},{"key":"312_CR12","unstructured":"Karlin S.J., Studden, W.J.: Tchebycheff Systems: with applications in analysis and statistics, Wiley Interscience, NY (1966)"},{"key":"312_CR13","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s003659900096","volume":"15","author":"M.-L. Mazure","year":"1999","unstructured":"Mazure M.-L.: Blossoming: a geometrical approach. Constr. Approx. 15, 33\u201368 (1999)","journal-title":"Constr. Approx."},{"key":"312_CR14","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/S0167-8396(01)00031-0","volume":"18","author":"M.-L. Mazure","year":"2001","unstructured":"Mazure M.-L.: Quasi-Chebyshev splines with connexion matrices. Application to variable degree polynomial splines. Comp. Aided Geom. Design 18, 287\u2013298 (2001)","journal-title":"Comp. Aided Geom. Design"},{"key":"312_CR15","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1023\/A:1025855123163","volume":"20","author":"M.-L. Mazure","year":"2004","unstructured":"Mazure M.-L.: Blossoms and optimal bases. Adv. Comp. Math. 20, 177\u2013203 (2004)","journal-title":"Adv. Comp. Math."},{"key":"312_CR16","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.jat.2004.06.004","volume":"131","author":"M.-L. Mazure","year":"2004","unstructured":"Mazure M.-L.: Blossoms of generalized derivatives in Chebyshev spaces. J. Approx. Theory 131, 47\u201358 (2004)","journal-title":"J. Approx. Theory"},{"key":"312_CR17","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s00365-004-0583-4","volume":"22","author":"M.-L. Mazure","year":"2005","unstructured":"Mazure M.-L.: Chebyshev spaces and Bernstein bases. Constr. Approx. 22, 347\u2013363 (2005)","journal-title":"Constr. Approx."},{"key":"312_CR18","doi-asserted-by":"crossref","unstructured":"Mazure, M.-L.: Ready-to-blossom bases in Chebyshev spaces. In: Jetter, K., Buhmann, M., Haussmann, W., Schaback, R., Stoeckler, J. (eds.) Topics in Multivariate Approximation and Interpolation, pp 109\u2013148. Elsevier (2006)","DOI":"10.1016\/S1570-579X(06)80007-8"},{"key":"312_CR19","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.jat.2006.07.003","volume":"145","author":"M.-L. Mazure","year":"2007","unstructured":"Mazure M.-L.: Extended Chebyshev Piecewise spaces characterised via weight functions. J. Approx. Theory 145, 33\u201354 (2007)","journal-title":"J. Approx. Theory"},{"key":"312_CR20","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s00211-007-0133-7","volume":"109","author":"M.-L. Mazure","year":"2008","unstructured":"Mazure M.-L.: On dimension elevation in Quasi Extended Chebyshev spaces. Numer. Math. 109, 459\u2013475 (2008)","journal-title":"Numer. Math."},{"key":"312_CR21","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/s00211-008-0164-8","volume":"110","author":"M.-L. Mazure","year":"2008","unstructured":"Mazure M.-L.: Which spaces for design?. Numer. Math. 110, 357\u2013392 (2008)","journal-title":"Numer. Math."},{"key":"312_CR22","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s11075-008-9260-1","volume":"52","author":"M.-L. Mazure","year":"2009","unstructured":"Mazure M.-L.: Bernstein-type operators in Chebyshev spaces. Numer. Alg. 52, 93\u2013128 (2009)","journal-title":"Numer. Alg."},{"key":"312_CR23","first-page":"111","volume":"1","author":"M.-L. Mazure","year":"2009","unstructured":"Mazure M.-L.: On differentiation formulae for Chebyshevian Bernstein and B-spline bases, Ja\u00e9n. J. Approx. 1, 111\u2013143 (2009)","journal-title":"J. Approx."},{"key":"312_CR24","unstructured":"Mazure, M.-L.: Finding all weight functions associated with a given Extended Chebyshev space. J. Approx. Theory (to appear)"},{"key":"312_CR25","unstructured":"Mazure, M.-L.: Chebyshev-Schoenberg operators (preprint)"},{"key":"312_CR26","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/S0167-8396(99)00005-9","volume":"16","author":"M.-L. Mazure","year":"1999","unstructured":"Mazure M.-L., Laurent P.-J.: Polynomial Chebyshev splines. Comp. Aided Geom. Design 16, 317\u2013343 (1999)","journal-title":"Comp. Aided Geom. Design"},{"key":"312_CR27","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0167-8396(93)90036-3","volume":"10","author":"H. Pottmann","year":"1993","unstructured":"Pottmann H.: The geometry of Tchebycheffian splines. Comput. Aided Geom. Des. 10, 181\u2013210 (1993)","journal-title":"Comput. Aided Geom. Des."},{"key":"312_CR28","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/0167-8396(89)90032-0","volume":"6","author":"L. Ramshaw","year":"1989","unstructured":"Ramshaw L.: Blossoms are polar forms. Comput. Aided Geom. Des. 6, 323\u2013358 (1989)","journal-title":"Comput. Aided Geom. Des."},{"key":"312_CR29","unstructured":"Schumaker, L.L.: Spline Functions, Wiley Interscience, NY (1981)"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-010-0312-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-010-0312-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-010-0312-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T12:05:13Z","timestamp":1559131513000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-010-0312-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5,29]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,5]]}},"alternative-id":["312"],"URL":"https:\/\/doi.org\/10.1007\/s00211-010-0312-9","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,5,29]]}}}