A Nice Representation for a Link between Baskakov- and Sz\'asz-Mirakjan-Durrmeyer Operators and their Kantorovich Variants
Classical Analysis and ODEs
2018-09-18 v1
Abstract
In this paper we consider a link between Baskakov-Durrmeyer type operators and corresponding Kantorovich type modifications of their classical variants. We prove a useful representation for Kantorovich variants of arbitrary order which leads to a simple proof of convexity properties for the linking operators. This also solves an open problem. Another open problem is presented at the end of the paper.
Keywords
Cite
@article{arxiv.1809.05661,
title = {A Nice Representation for a Link between Baskakov- and Sz\'asz-Mirakjan-Durrmeyer Operators and their Kantorovich Variants},
author = {Margareta Heilmann and Ioan Raşa},
journal= {arXiv preprint arXiv:1809.05661},
year = {2018}
}