Characterizations of smoothness of functions in terms of the basis conjugate to Jacobi polynomials

DOI10.1016/j.jat.2008.03.006zbMath1186.42016OpenAlexW2008248286MaRDI QIDQ1041624

Zhongkai Li, Zhihui Zhu

Publication date: 3 December 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.03.006

zbMATH Keywords

smoothnessgeneralized translationJacobi expansiongeneralized difference

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Sobolev spaces associated with Jacobi expansions, Characterizations of smoothness of functions in terms of their Jacobi expansions, Hardy spaces for Dunkl-Gegenbauer expansions, Herglotz's theorem for Jacobi-Dunkl positive definite sequences

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