A Note on Some Approximation Kernels on the Sphere

DOI10.1007/978-3-319-72456-0_21zbMath1405.41022arXiv1706.09456OpenAlexW2733457301MaRDI QIDQ4611812

Peter J. Grabner

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09456

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Multidimensional problems (41A63) Best constants in approximation theory (41A44)

Cites Work

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• A short proof of a result of Kogbetliantz on the positivity of certain Cesàro means
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten

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