Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators
Functional Analysis
2019-12-11 v1
Abstract
The present article deals with the local approximation results by means of Lipschitz maximal function, Ditzian-Totik modulus of smoothness and Lipschitz type space having two parameters for the summation-integral type operators defined by Mishra and Yadav (Tbilisi Mathematical Journal. 11(3), (2018), 175-91). Further, we determine the rate of convergence in the term of the with derivative of bounded variation and for the quantitative means of the defined operators, we establish the quantitative Voronovskaya type and Grss type theorems. Moreover, the examples are given with graphical representation to support the main results.
Cite
@article{arxiv.1912.04537,
title = {Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators},
author = {Rishikesh Yadav and Ramakanta Meher and Vishnu Narayan Mishra},
journal= {arXiv preprint arXiv:1912.04537},
year = {2019}
}