Concepts of generalized bounded variation and the theory of Fourier series-Reference-Cited by-同舟云学术

Concepts of generalized bounded variation and the theory of Fourier series

Published:1986 Issue:2 Volume:9 Page:223-244
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Avdispahić M.¹

Affiliation:

1. Univerzitet “Dzemal Bijedić”, Gradjevinski fakultet, A. Zuanića 14, Mostar 88000, Serbia and Montenegro

Abstract

The aim of this article is to unify a large part of present knowledge about the behaviour of Fourier series of functions of generalized bounded variation. The connections between various concepts are discussed, particular attention being payed to those due to Waterman and Chanturiya. Exploiting the existing interactions and utilizing the power of one or another approach to some typical questions of the Fourier theory, a number of previously unnoticed results are obtained in the course of this exposition.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1986/685706.pdf

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