de La Vallée Poussin approximations and Jacobi-Dunkl convolution structures

DOI10.1007/s00025-020-1175-8zbMath1437.33010OpenAlexW3012103724MaRDI QIDQ2175513

Iness Haouala, Frej Chouchene

Publication date: 29 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-1175-8

zbMATH Keywords

Jacobi-Dunkl polynomialsde La Vallée Poussin approximationsde La Vallée Poussin operatorJacobi-Dunkl convolutionJacobi-Dunkl translation operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Other special orthogonal polynomials and functions (33C47) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Exponential and trigonometric functions (33B10)

Related Items (3)

Generalized distributions and Jacobi-Dunkl approximations ⋮ Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials ⋮ Fractional Jacobi-Dunkl transform: properties and application

Cites Work

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• Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)
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• Trigonometric convolution structures on \(\mathbb{Z}\) derived from Jacobi polynomials
• Positivity and the convolution structure for Jacobi series
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Dirichlet Theorem for Jacobi-Dunkl Expansions
• Classical Fourier Analysis
• Linearization of the Product of Jacobi Polynomials. II

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