Sur la suite des op\'erateurs Bernstein compos\'es
Classical Analysis and ODEs
2014-02-12 v1
Abstract
We consider a sequence of composite Bernstein operators and the quadrature formulae associated with them. Upper bounds for the approximation error of continuous functions and for the approximation of integrals of continuous functions are given. The bounds are described in terms of moduli of continuity of order one and two. Two inequalities of Tchebycheff-Gr\"uss-type are also included.
Cite
@article{arxiv.1402.2520,
title = {Sur la suite des op\'erateurs Bernstein compos\'es},
author = {Heiner Gonska and Ioan Raşa},
journal= {arXiv preprint arXiv:1402.2520},
year = {2014}
}
Comments
in French