Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers
Classical Analysis and ODEs
2019-09-11 v1
Abstract
It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in some of the inequalities are independent of the weight and the dimension. The estimates are stated in terms of the -functional that is naturally associated to the operator.
Keywords
Cite
@article{arxiv.1909.04552,
title = {Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers},
author = {Borislav R. Draganov},
journal= {arXiv preprint arXiv:1909.04552},
year = {2019}
}