On Bivariate Kantorovich Exponential Sampling Series
Functional Analysis
2020-07-21 v1
Abstract
We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya type theorem for these sampling type series. Using the modulus of smoothness, we obtain the quantitative estimate of order of convergence of these series. Further, we establish the degree of approximation for these series associated with generalized Boolean sum (GBS) operators. Finally, we provide a few examples of kernels to which the theory can be applied along with the graphical representation and error estimates.
Keywords
Cite
@article{arxiv.2007.09373,
title = {On Bivariate Kantorovich Exponential Sampling Series},
author = {Prashant Kumar and A. Sathish Kumar and Shivam Bajpyei},
journal= {arXiv preprint arXiv:2007.09373},
year = {2020}
}