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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

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  • Ali El Mfadel
  • Said Melliani
  • M’hamed Elomari

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.

Suggested Citation

  • Ali El Mfadel & Said Melliani & M’hamed Elomari, 2022. "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," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2835927
    DOI: 10.1155/2022/2835927
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    References listed on IDEAS

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    1. Ali El Mfadel & Said Melliani & M’hamed Elomari & Remi Léandre, 2021. "A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-6, September.
    2. Ali El Mfadel & Said Melliani & M’hamed Elomari, 2021. "A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
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