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Some approximation results by (p, q)-analogue of Bernstein–Stancu operators.

Authors :
Mursaleen, M.
Ansari, Khursheed J.
Khan, Asif
Source :
Applied Mathematics & Computation. Aug2015, Vol. 264, p392-402. 11p.
Publication Year :
2015

Abstract

In this paper, we introduce a new analogue of Bernstein–Stancu operators based on ( p, q )-integers which we call as ( p, q )-Bernstein–Stancu operators. We study approximation properties for these operators based on Korovkin’s type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
264
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
102981800
Full Text :
https://doi.org/10.1016/j.amc.2015.03.135