Direct and inverse results for Kantorovich type exponential sampling series
Numerical Analysis
2020-02-10 v2 Numerical Analysis
Functional Analysis
Abstract
In this article, we analyze the behaviour of the new family of Kantorovich type exponential sampling series. We obtain the point-wise approxi mation theorem and Voronovskaya type theorem for the series. Further, we obtain a representation formula and an inverse result approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation.
Keywords
Cite
@article{arxiv.1909.06807,
title = {Direct and inverse results for Kantorovich type exponential sampling series},
author = {Sathish Kumar Angamuthu and Shivam Bajpeyi},
journal= {arXiv preprint arXiv:1909.06807},
year = {2020}
}