Convergence of the Bernstein-Durrmeyer operators in variation seminorm
Classical Analysis and ODEs
2016-05-16 v1
Abstract
The aim of this paper is to study variation detracting property and con- vergence in variation of the Bernstein-Durrmeyer modifications of the classical Bernstein operators in the space of functions of bounded variation. These problems are studied with respect to the variation seminorm. Moreover we also study the problem of the rate of approximation.
Keywords
Cite
@article{arxiv.1605.03976,
title = {Convergence of the Bernstein-Durrmeyer operators in variation seminorm},
author = {Ozlem Oksuzer and Harun Karsli and Fatma Tasdelen Yesildal},
journal= {arXiv preprint arXiv:1605.03976},
year = {2016}
}
Comments
14 pages