Dirichlet Theorem for Jacobi-Dunkl Expansions
DOI10.1080/01630563.2020.1870042zbMath1465.33008OpenAlexW2950013558MaRDI QIDQ4985177
Publication date: 22 April 2021
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2020.1870042
quadratic mean convergenceJacobi-Dunkl polynomialsJacobi-Dunkl seriesDirichlet type theoremJacobi-Dunkl coefficients
Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convergence and divergence of series and sequences of functions (40A30) 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 (6)
Cites Work
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- Cesàro means of Jacobi expansions on the parabolic biangle
- Mean convergence of generalized Jacobi series and interpolating polynomials. II
- Summability of product Jacobi expansions
- Harmonic analysis associated with the Jacobi-Dunkl operator on \(-\frac{\pi}{2},\frac{\pi}{2}[\)]
- Mean convergence of generalized Jacobi series and interpolating polynomials. I
- Uniform convergence of Fourier--Jacobi series.
- Positivity and the convolution structure for Jacobi series
- Wiener type theorems for Jacobi series with nonnegative coefficients
- Approximation processes for fourier-jacobi expansions†
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