Trigonometric approximation of signals (functions) belonging to certain Lipschitz spaces using C^δ.T operator

• Autorzy: Luhar Shivani , Srivastava Shailesh Kumar

Identyfikatory

DOI

10.1515/jaa-2023-0128

• Języki publikacji: EN

Abstrakty

EN

In 2015, Srivastava and Singh [S. K. Srivastava and U. Singh, Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W(L^p , Ψ(t), β), in: Function Spaces in Analysis, Contemp. Math. 645, American Mathematical Society, Providence (2015), 283-291] determined the order of approximation of periodic functions belonging to W(L^p , Ψ(u), β)-class, which is a weighted version of Lip(ω(u), p)-class with weight function sin^βp(y/2) through matrix means of their trigonometric Fourier series. It is a well-known fact that the product summability methods are stronger than the single summability methods, and they can approximate a wider class of functions. Therefore, in this article, an effort is made to determine the degree of approximation for periodic functions from the same weighted Lipschitz class W(L^p, Ψ(u), β), p ≥ 1, using C^δ.T-means of their trigonometric Fourier series.

Słowa kluczowe

EN

Fourier series; order of approximation; Cdelta.T-summability method

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 2
• Strony: 251--259
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Luhar Shivani

• Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat-395007, Gujarat, India

autor

Srivastava Shailesh Kumar

• Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat-395007, Gujarat, India

• https://orcid.org/0000-0002-6039-5839

Bibliografia

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