Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV

Author:

Vyas Rajendra G.1

Affiliation:

1. Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India

Abstract

AbstractIn this paper, we obtain sufficiency conditions for generalized β-absolute convergence ({0<\beta\leq 2}) of single and multiple Fourier series of functions of the class {\Lambda\text{-}\mathrm{BV}(p(n)\uparrow\infty,\varphi,[-\pi,\pi])} and the class {(\Lambda^{1},\Lambda^{2},\dots,\Lambda^{N})\text{-}\mathrm{BV}(p(n)\uparrow% \infty,\varphi,[-\pi,\pi]^{N})}, respectively.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference16 articles.

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1. On the generalized β-absolute convergence of single and multiple Fourier series;Acta et Commentationes Universitatis Tartuensis de Mathematica;2023-12-01

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