Discrete Jacobi-Dunkl transform and approximation theorems

DOI10.1007/s00009-022-02132-0OpenAlexW4295066833WikidataQ114232205 ScholiaQ114232205MaRDI QIDQ2675960

Radouan Daher, Othman Tyr

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02132-0

zbMATH Keywords

Jacobi polynomialsmodulus of smoothnessK-functionalsJacobi-Dunkl operatorJacobi-Dunkl Laplacian operatordiscrete Jacobi-Dunkl transformJacobi-Dunkl translation operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Integral transforms of special functions (44A20) Approximation by positive operators (41A36)

Related Items (4)

Modulus of smoothness and approximation theorems in Clifford analysis ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Jackson's inequalities in Mellin's analysis ⋮ Jackson's inequalities in Laguerre hypergroup

Cites Work

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