Aldaz-Kounchev-Render operators and their approximation properties
Numerical Analysis
2022-04-25 v1 Numerical Analysis
Abstract
The approximation properties of the Aldaz-Kounchev-Render (AKR) operators are discussed and classes of functions for which these operators approximate better than the classical Bernstein operators are described. The new results are then extended to the bivariate case on the square and compared with other existing results known in literature. Several numerical examples, illustrating the relevance and supporting the theoretical findings, are presented
Keywords
Cite
@article{arxiv.2204.10506,
title = {Aldaz-Kounchev-Render operators and their approximation properties},
author = {Ana Acu and Stefano De Marchi and Ioan Rasa},
journal= {arXiv preprint arXiv:2204.10506},
year = {2022}
}