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de La Vallée Poussin Approximations and Jacobi–Dunkl Convolution Structures

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Abstract

In this paper, we establish convolution structures associated with the Jacobi–Dunkl polynomials in order to approximate certain functions by Jacobi–Dunkl series. We construct a de La Vallée Poussin expansion which is a natural generalization of the classical trigonometric case.

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Acknowledgements

Thanks to the referees for careful reading and helpful comments.

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  1. Department of Mathematics, Higher School of Sciences and Technology of Hammam Sousse, University of Sousse, Sousse, Tunisia

    Frej Chouchene & Iness Haouala

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  1. Frej Chouchene
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  2. Iness Haouala
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Correspondence to Frej Chouchene.

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Chouchene, F., Haouala, I. de La Vallée Poussin Approximations and Jacobi–Dunkl Convolution Structures. Results Math 75, 49 (2020). https://doi.org/10.1007/s00025-020-1175-8

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  • DOI: https://doi.org/10.1007/s00025-020-1175-8

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