On the Constant in The Lower Estimate for the Bernstein Operator
Classical Analysis and ODEs
2015-04-08 v1
Abstract
For functions belonging to the classes and , we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
Cite
@article{arxiv.1410.3502,
title = {On the Constant in The Lower Estimate for the Bernstein Operator},
author = {Sorin Gal and Gancho Tachev},
journal= {arXiv preprint arXiv:1410.3502},
year = {2015}
}