Coefficients of multiple Fourier-Haar series and variational modulus of continuity

In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and prove theorems of absolute convergence of seri...

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Bibliographic Details
Main Authors: T.B. Akhazhanov, N.А. Bokayev, D.T. Matin, T. Aktosun
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2023-12-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/602