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arXiv:1504.05887 [math.CA]AbstractReferencesReviewsResources

Some approximation results by Bernstein-Kantorovich operators based on (p,q)-integers

M. Mursaleen, Khursheed J. Ansari, Asif Khan

Published 2015-04-16Version 1

In this paper, a new analogue of Bernstein-Kantorovich operators has been introduced and we call it as (p,q)-Bernstein-Kantorovich operators. Approximation properties based on Korovkin's type approximation theorem and some direct theorems for (p,q)-Bernstein-Kantorovich operators has been studied. Furthermore, comparisons and some illustrative graphics for the convergence of operators to a function are presented.

Comments: 8 pages, 6 figures. arXiv admin note: text overlap with arXiv:1503.07404
Categories: math.CA
Subjects: 41A10, 41A25, 41A36, 40A30
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