Strong boundedness, strong convergence and generalized variation
Classical Analysis and ODEs
2017-04-24 v1
Abstract
A trigonometric series strongly bounded at two points and with coefficients forming a log-quasidecreasing sequence is necessarily the Fourier series of a function belonging to all spaces, . We obtain new results on strong convergence of Fourier series for functions of generalized bounded variation.
Cite
@article{arxiv.1612.06250,
title = {Strong boundedness, strong convergence and generalized variation},
author = {Muharem Avdispahić and Zenan Šabanac},
journal= {arXiv preprint arXiv:1612.06250},
year = {2017}
}
Comments
14 pages