B\'{e}zier Variant of generalized Bernstein-Durrmeyer type operators
Classical Analysis and ODEs
2020-05-27 v1
Abstract
In this paper, we define B\'{e}zier variant of generalized Bernstein-Durrmeyer type operators of second order, introduced by Ana et al. Then, we find an error estimate in terms of terms of Ditzian Totik modulus of smoothness. Next, we study the rate of approximation for a larger class of functions of bounded variation.
Keywords
Cite
@article{arxiv.2005.12698,
title = {B\'{e}zier Variant of generalized Bernstein-Durrmeyer type operators},
author = {Karunesh Kumar Singh and Asha Ram Gairola},
journal= {arXiv preprint arXiv:2005.12698},
year = {2020}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:2005.03885