Convergence of a conjugate function in Zygmund space by almost Nörlund transform

• Autorzy: Sharma Kusum , Dumka Diksha

Identyfikatory

DOI

10.1515/jaa-2022-1004

• Języki publikacji: EN

Abstrakty

EN

The proposed work aims to study the degree of convergence of a function ĥ, conjugate to a Lebesgue integrable 2π-periodic function h, in the Zygmund class Z_r^(ν), r ≥ 1, by almost Nörlund transform. Our results give sharper estimates than the previous existing results.

Słowa kluczowe

EN

degree of convergence; almost Nörlund transform; Zygmund class; conjugate Fourier series

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 329--339
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Sharma Kusum

• Department of Mathematics, National Institute of Technology Uttarakhand, Srinagar, Pauri Garhwal, India

• https://orcid.org/0000-0003-4313-9478

autor

Dumka Diksha

• Department of Mathematics, National Institute of Technology Uttarakhand, Srinagar, Pauri Garhwal, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).