Statistical approximation properties of Stancu type $q$-Baskakov-Kantorovich operators
Classical Analysis and ODEs
2015-08-28 v1
Abstract
In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type function are also established for said operators. Finally, we construct a bivariate generalization of the operator and also obtain the statistical approximation properties.
Keywords
Cite
@article{arxiv.1508.06891,
title = {Statistical approximation properties of Stancu type $q$-Baskakov-Kantorovich operators},
author = {Vishnu Narayan Mishra and Preeti Sharma and Adem Kilicman and Dilip Jain},
journal= {arXiv preprint arXiv:1508.06891},
year = {2015}
}
Comments
16. arXiv admin note: substantial text overlap with arXiv:1508.05863