Concepts of generalized bounded variation and the theory of Fourier series
type: Item
instance of: scholarly article
title: Concepts of generalized bounded variation and the theory of Fourier series
zbMATH Open document ID: 0595.42012
DOI: 10.1155/S0161171286000285
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46081
review text: Summary: 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.
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 3957901
zbMATH Keywords: generalized bounded variation
zbMATH Keywords: absolute convergence
zbMATH Keywords: Gibb's
zbMATH Keywords: phenomenon
Wikidata QID: Q57621986
author: Muharem Avdispahić
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3957901