{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,19]],"date-time":"2026-06-19T19:03:49Z","timestamp":1781895829297,"version":"3.54.5"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T00:00:00Z","timestamp":1674432000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T00:00:00Z","timestamp":1674432000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Found Comput Math"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s10208-023-09606-x","type":"journal-article","created":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T19:39:02Z","timestamp":1674502742000},"page":"989-1018","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Optimal Polynomial Meshes Exist on any Multivariate Convex Domain"],"prefix":"10.1007","volume":"24","author":[{"given":"Feng","family":"Dai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andriy","family":"Prymak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,1,23]]},"reference":[{"key":"9606_CR1","doi-asserted-by":"publisher","first-page":"53","DOI":"10.4064\/ap106-0-5","volume":"106","author":"T Bloom","year":"2012","unstructured":"Bloom, T., Bos, L. P., Calvi, J.-P., Levenberg, N., Polynomial interpolation and approximation in $$\\mathbb{C}^d$$, Ann. Polon. Math., 106, 2012, 53\u201381,","journal-title":"Ann. Polon. Math."},{"issue":"275","key":"9606_CR2","doi-asserted-by":"publisher","first-page":"1623","DOI":"10.1090\/S0025-5718-2011-02442-7","volume":"80","author":"L Bos","year":"2011","unstructured":"Bos, L., Calvi, J.-P., Levenberg, N., Sommariva, A., Vianello, M., Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points, Math. Comp., 80, 2011, 275, 1623\u20131638,","journal-title":"Math. Comp."},{"issue":"3","key":"9606_CR3","doi-asserted-by":"publisher","first-page":"221","DOI":"10.4064\/ap181031-26-3","volume":"122","author":"Len Bos","year":"2019","unstructured":"Bos, Len, Vianello, Marco, Tchakaloff polynomial meshes, Ann. Polon. Math., 122, 2019, 3, 221\u2013231,","journal-title":"Ann. Polon. Math."},{"key":"9606_CR4","volume-title":"Vandenberghe","author":"Stephen Boyd","year":"2004","unstructured":"Boyd, Stephen, Vandenberghe, Lieven, Convex optimization, Cambridge University Press, Cambridge, 2004,"},{"key":"9606_CR5","doi-asserted-by":"crossref","unstructured":"Dai, F., Prymak, A., Temlyakov, V. N., Tikhonov, S. Yu., Integral norm discretization and related problems, Russian, with Russian summary, Uspekhi Mat. Nauk, 74, 2019, 4(448), 3\u201358, Russian Math. Surveys, 74, 2019, 4, 579\u2013630, ,","DOI":"10.4213\/rm9892"},{"issue":"21","key":"9606_CR6","doi-asserted-by":"publisher","first-page":"10617","DOI":"10.1016\/j.amc.2012.04.023","volume":"218","author":"De Marchi","year":"2012","unstructured":"De Marchi, Stefano, Marchioro, Martina, Sommariva, Alvise, Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder, Appl. Math. Comput., 218, 2012, 21, 10617\u201310629,","journal-title":"Appl. Math. Comput."},{"key":"9606_CR7","doi-asserted-by":"crossref","unstructured":"DeVore, Ronald A., Lorentz, George G., Constructive approximation, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 303, Springer-Verlag, Berlin, 1993, x+449,","DOI":"10.1007\/978-3-662-02888-9_10"},{"key":"9606_CR8","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF02787786","volume":"67","author":"Moshe Dubiner","year":"1995","unstructured":"Dubiner, Moshe, The theory of multi-dimensional polynomial approximation, J. Anal. Math., 67, 1995, 39\u2013116,","journal-title":"J. Anal. Math."},{"issue":"1","key":"9606_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01891406","volume":"6","author":"KG Ivanov","year":"1990","unstructured":"Ivanov, K. G., Totik, V., Fast decreasing polynomials, Constr. Approx., 6, 1990, 1, 1\u201320,","journal-title":"Constr. Approx."},{"key":"9606_CR10","doi-asserted-by":"crossref","unstructured":"Henk, Martin, L\u00f6wner-John ellipsoids, Doc. Math., 2012, Extra vol.: Optimization stories, 95\u2013106,","DOI":"10.4171\/dms\/6\/15"},{"issue":"9","key":"9606_CR11","doi-asserted-by":"publisher","first-page":"1107","DOI":"10.1016\/j.jat.2011.03.007","volume":"163","author":"Andr\u00e1s Kro\u00f3","year":"2011","unstructured":"Kro\u00f3, Andr\u00e1s, On optimal polynomial meshes, J. Approx. Theory, 163, 2011, 9, 1107\u20131124,","journal-title":"J. Approx. Theory"},{"issue":"3","key":"9606_CR12","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1007\/s13373-013-0033-3","volume":"3","author":"Andr\u00e1s Kro\u00f3","year":"2013","unstructured":"Kro\u00f3, Andr\u00e1s, Bernstein type inequalities on star-like domains in $$\\mathbb{R}^d$$ with application to norming sets, Bull. Math. Sci., 3, 2013, 3, 349\u2013361,","journal-title":"Bull. Math. Sci."},{"issue":"1","key":"9606_CR13","doi-asserted-by":"publisher","first-page":"718","DOI":"10.1016\/j.jmaa.2014.07.037","volume":"421","author":"Andr\u00e1s Kro\u00f3","year":"2015","unstructured":"Kro\u00f3, Andr\u00e1s, Christoffel functions on convex and starlike domains in $$\\mathbb{R}^d$$, J. Math. Anal. Appl., 421, 2015, 1, 718\u2013729,","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"9606_CR14","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s10474-016-0593-2","volume":"149","author":"A Kro\u00f3","year":"2016","unstructured":"Kro\u00f3, A., Multivariate fast decreasing polynomials, Acta Math. Hungar., 149, 2016, 1, 101\u2013119,","journal-title":"Acta Math. Hungar."},{"key":"9606_CR15","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/j.jat.2017.02.004","volume":"238","author":"Andr\u00e1s Kro\u00f3","year":"2019","unstructured":"Kro\u00f3, Andr\u00e1s, On the existence of optimal meshes in every convex domain on the plane, J. Approx. Theory, 238, 2019, 26\u201337,","journal-title":"J. Approx. Theory"},{"issue":"226","key":"9606_CR16","doi-asserted-by":"publisher","first-page":"733","DOI":"10.1090\/S0025-5718-99-01080-7","volume":"68","author":"Kurt Jetter","year":"1999","unstructured":"Jetter, Kurt, St\u00f6ckler, Joachim, Ward, Joseph D., Error estimates for scattered data interpolation on spheres, Math. Comp., 68, 1999, 226, 733\u2013747,","journal-title":"Math. Comp."},{"issue":"1","key":"9606_CR17","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s003659910002","volume":"16","author":"G Mastroianni","year":"2000","unstructured":"Mastroianni, G., Totik, V., Weighted polynomial inequalities with doubling and $$A_\\infty $$ weights, Constr. Approx., 16, 2000, 1, 37\u201371,","journal-title":"Constr. Approx."},{"key":"9606_CR18","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1016\/j.jat.2016.02.015","volume":"207","author":"Federico Piazzon","year":"2016","unstructured":"Piazzon, Federico, Optimal polynomial admissible meshes on some classes of compact subsets of $$\\mathbb{R}^d$$, J. Approx. Theory, 207, 2016, 241\u2013264,","journal-title":"J. Approx. Theory"},{"key":"9606_CR19","doi-asserted-by":"crossref","unstructured":"Prymak, A., Geometric computation of Christoffel functions on planar convex domains, J. Approx. Theory, 268, 2021, Paper No. 105603, 13,","DOI":"10.1016\/j.jat.2021.105603"},{"key":"9606_CR20","unstructured":"Roberts, A. Wayne, Varberg, Dale E., Convex functions, Pure and Applied Mathematics, Vol. 57, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1973, xx+300,"},{"key":"9606_CR21","unstructured":"Schneider, Rolf, Convex bodies: the Brunn-Minkowski theory, Encyclopedia of Mathematics and its Applications, 151, Second expanded edition, Cambridge University Press, Cambridge, 2014, xxii+736,"}],"container-title":["Foundations of Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-023-09606-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10208-023-09606-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-023-09606-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T22:03:20Z","timestamp":1718661800000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10208-023-09606-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,23]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["9606"],"URL":"https:\/\/doi.org\/10.1007\/s10208-023-09606-x","relation":{},"ISSN":["1615-3375","1615-3383"],"issn-type":[{"value":"1615-3375","type":"print"},{"value":"1615-3383","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,23]]},"assertion":[{"value":"27 May 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 October 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 November 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 January 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}