{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T02:48:59Z","timestamp":1772160539348,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,7,4]],"date-time":"2012-07-04T00:00:00Z","timestamp":1341360000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2012,10]]},"DOI":"10.1007\/s11075-012-9615-5","type":"journal-article","created":{"date-parts":[[2012,7,3]],"date-time":"2012-07-03T07:53:29Z","timestamp":1341302009000},"page":"291-313","source":"Crossref","is-referenced-by-count":9,"title":["Radial orthogonality and Lebesgue constants on the disk"],"prefix":"10.1007","volume":"61","author":[{"given":"Annie","family":"Cuyt","sequence":"first","affiliation":[]},{"given":"Irem","family":"Yaman","sequence":"additional","affiliation":[]},{"given":"Bayram Ali","family":"Ibrahimoglu","sequence":"additional","affiliation":[]},{"given":"Brahim","family":"Benouahmane","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,7,4]]},"reference":[{"key":"9615_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1019128823463","volume":"24","author":"B Benouahmane","year":"2000","unstructured":"Benouahmane, B., Cuyt, A.: Multivariate orthogonal polynomials, homogeneous Pad\u00e9 approximants and Gaussian cubature. Numer. Algorithms 24, 1\u201315 (2000). doi: 10.1023\/A:1019128823463","journal-title":"Numer. Algorithms"},{"issue":"1","key":"9615_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jath.2000.3565","volume":"113","author":"B Benouahmane","year":"2001","unstructured":"Benouahmane, B., Cuyt, A.: Properties of multivariate homogeneous orthogonal polynomials. J. Approx. Theory 113(1), 1\u201320 (2001). doi: 10.1006\/jath.2000.3565","journal-title":"J. Approx. Theory"},{"key":"9615_CR3","unstructured":"Bloom, T., Bos, L.P., Calvi, J.P., Levenberg, N.: Polynomial interpolation and approximation in \u2102 d (2011). http:\/\/arxiv.org\/abs\/1111.6418"},{"issue":"3","key":"9615_CR4","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S0021-9045(02)00023-0","volume":"120","author":"B Bojanov","year":"2003","unstructured":"Bojanov, B., Xu, Y.: On polynomial interpolation of two variables. J. Approx. Theory 120(3), 267\u2013282 (2003). doi: 10.1016\/S0021-9045(02)00023-0","journal-title":"J. Approx. Theory"},{"issue":"1","key":"9615_CR5","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.jat.2006.03.008","volume":"143","author":"L Bos","year":"2006","unstructured":"Bos, L., De\u00a0Marchi, S., Caliari, M., Vianello, M., Xu, Y.: Bivariate Lagrange interpolation at the padua points: the generating curve approach. J. Approx. Theory 143(1), 15\u201325 (2006). doi: 10.1016\/j.jat.2006.03.008","journal-title":"J. Approx. Theory"},{"issue":"2","key":"9615_CR6","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.jat.2006.01.005","volume":"141","author":"L Bos","year":"2006","unstructured":"Bos, L., De\u00a0Marchi, S., Caliari, M., Vianello, M.: On the Lebesgue constant for the Xu interpolation formula. J. Approx. Theory 141(2), 134\u2013141 (2006). doi: 10.1016\/j.jat.2006.01.005","journal-title":"J. Approx. Theory"},{"key":"9615_CR7","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/j.amc.2004.07.001","volume":"165","author":"M Caliari","year":"2005","unstructured":"Caliari, M., De\u00a0Marchi, S., Vianello, M.: Bivariate polynomial interpolation on the square at new nodal sets. Appl. Math. Comput. 165, 261\u2013274 (2005). doi: 10.1016\/j.amc.2004.07.001","journal-title":"Appl. Math. Comput."},{"issue":"8","key":"9615_CR8","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1016\/j.apnum.2011.03.003","volume":"61","author":"A Cuyt","year":"2011","unstructured":"Cuyt, A., Benouahmane, B., Hamsapriye, Yaman, I.: Symbolic-numeric Gaussian cubature rules. Appl. Numer. Math. 61(8), 929\u2013945 (2011). doi: 10.1016\/j.apnum.2011.03.003","journal-title":"Appl. Numer. Math."},{"issue":"1","key":"9615_CR9","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/BF01386302","volume":"4","author":"W Gautschi","year":"1962","unstructured":"Gautschi, W.: On inverses of vandermonde and confluent vandermonde matrices. Numer. Math. 4(1), 117\u2013123 (1962). doi: 10.1007\/BF01386302","journal-title":"Numer. Math."},{"issue":"2","key":"9615_CR10","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1016\/j.jcp.2005.02.002","volume":"207","author":"W Heinrichs","year":"2005","unstructured":"Heinrichs, W.: Improved Lebesgue constants on the triangle. J. Comput. Phys. 207(2), 625\u2013638 (2005). doi: 10.1016\/j.jcp.2005.02.002","journal-title":"J. Comput. Phys."},{"issue":"2","key":"9615_CR11","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1137\/S003614299630587X","volume":"35","author":"JS Hesthaven","year":"1998","unstructured":"Hesthaven, J.S.: From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. SIAM J. Numer. Anal. 35(2), 655\u2013676 (1998). doi: 10.1137\/S003614299630587X","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"9615_CR12","first-page":"1573","volume":"33","author":"R Humberto","year":"2009","unstructured":"Humberto, R.: On the selection of the most adequate radial basis function. Appl. Numer. Math. 33(3), 1573\u20131583 (2009). doi: 10.1016\/j.apm.2008.02.008","journal-title":"Appl. Numer. Math."},{"issue":"2","key":"9615_CR13","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/BF02142808","volume":"12","author":"T Sauer","year":"1996","unstructured":"Sauer, T., Xu, Y.: Regular points for lagrange interpolation on the unit disk. Numer. Algorithms 12(2), 287\u2013296 (1996). doi: 10.1007\/BF02142808","journal-title":"Numer. Algorithms"},{"issue":"1","key":"9615_CR14","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF01163879","volume":"188","author":"B S\u00fcndermann","year":"1984","unstructured":"S\u00fcndermann, B.: On projection constants of polynomial space on the unit ball in several variables. Math. Z. 188(1), 111\u2013117 (1984). doi: 10.1007\/BF0116387","journal-title":"Math. Z."},{"key":"9615_CR15","doi-asserted-by":"crossref","DOI":"10.1142\/0861","volume-title":"Interpolation of Functions","author":"J Szabados","year":"1990","unstructured":"Szabados, J., V\u00e9rtesi, P.: Interpolation of Functions. World Scientific, Teaneck (1990)"},{"issue":"4","key":"9615_CR16","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1112\/S0024609300007001","volume":"32","author":"Y Xu","year":"2000","unstructured":"Xu, Y.: Funk\u2013Hecke formulae for orthogonal polynomials on sphere and on balls. Bull. Lond. Math. Soc. 32(4), 447\u2013457 (2000). doi: 10.1112\/S0024609300007001","journal-title":"Bull. Lond. Math. Soc."},{"issue":"1\u20133","key":"9615_CR17","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1023\/A:1025851005416","volume":"20","author":"Y Xu","year":"2004","unstructured":"Xu, Y.: Polynomial interpolation on the unit sphere and on the unit ball. Adv. Comput. Math. 20(1\u20133), 247\u2013260 (2004). doi: 10.1023\/A:1025851005416","journal-title":"Adv. Comput. Math."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-012-9615-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-012-9615-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-012-9615-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:08:19Z","timestamp":1559365699000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-012-9615-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,4]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["9615"],"URL":"https:\/\/doi.org\/10.1007\/s11075-012-9615-5","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,4]]}}}