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The Approximation Characteristics of Weighted p -Wiener Algebra

Author

Listed:
  • Ying Chen

    (School of Science, Xihua University, Chengdu 610039, China
    These authors contributed equally to this work.)

  • Xiangyu Pan

    (School of Science, Xihua University, Chengdu 610039, China
    These authors contributed equally to this work.)

  • Yanyan Xu

    (School of Science, Xihua University, Chengdu 610039, China)

  • Guanggui Chen

    (Graduate School, Xihua University, Chengdu 610039, China
    These authors contributed equally to this work.)

Abstract

In this paper, we study the approximation characteristics of weighted p -Wiener algebra A ω p T d for 1 ≤ p < ∞ defined on the d -dimensional torus T d . In particular, we investigate the asymptotic behavior of the approximation numbers, Kolmogorov numbers, and entropy numbers associated with the embeddings i d : A ω p T d → A T d and i d : A ω p T d → L q T d for 1 ≤ p , q < ∞ , where A T d is the Wiener algebra defined on the d -dimensional torus T d .

Suggested Citation

  • Ying Chen & Xiangyu Pan & Yanyan Xu & Guanggui Chen, 2023. "The Approximation Characteristics of Weighted p -Wiener Algebra," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3974-:d:1242927
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