Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Nikol'skii–Besov type function spaces

DOI10.1080/10652469.2019.1691548zbMath1437.33009OpenAlexW2990787402MaRDI QIDQ5217261

Sergei S. Platonov

Publication date: 24 February 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1691548

zbMATH Keywords

approximation of functionsBernstein-type inequalitiesgeneralized moduli of smoothnessJacobi generalized translationFourier-Jacobi harmonic analysisNikol'skii-Besov type function spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral transforms of special functions (44A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform ⋮ Translation beyond Delsarte ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes

Cites Work

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• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces
• Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Jackson's type direct theorems
• Fourier-Jacobi harmonic analysis and approximation of functions

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