New Results on the Equivalence of K‐Functionals and Modulus of Continuity of Functions Defined on the Sobolev Space Constructed by the Generalized Jacobi‐Dunkl Operator

Ali El Mfadel, Said Melliani and M’hamed Elomari

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: In this paper, we establish some new generalized results on the equivalence of K‐functionals and modulus of continuity of functions defined on the Sobolev space Lα,β2ℝ, by using the harmonic analysis related to the Jacobi‐Dunkl operator Δα,β, where α ≥ β ≥ −1/2 and α ≠ −1/2.

Date: 2022
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https://doi.org/10.1155/2022/2835927

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2835927

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