Back to Search Start Over

On (p, q)-analogue of Kantorovich type Bernstein–Stancu–Schurer operators.

Authors :
Cai, Qing-Bo
Zhou, Guorong
Source :
Applied Mathematics & Computation. Mar2016, Vol. 276, p12-20. 9p.
Publication Year :
2016

Abstract

In this paper, we introduce a new kind of Kantorovich-type Bernstein–Stancu–Schurer operators based on the concept of ( p, q )-integers. We investigate statistical approximation properties and establish a local approximation theorem, we also give a convergence theorem for the Lipschitz continuous functions. Finally, we give some graphics and numerical examples to illustrate the convergence properties of operators to some functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
276
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
112473103
Full Text :
https://doi.org/10.1016/j.amc.2015.12.006