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Start Over Author "Cai, Qing-Bo" Journal applied mathematics & computation
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1. On (p, q)-analogue of Kantorovich type Bernstein–Stancu–Schurer operators.

Author

Cai, Qing-Bo and Zhou, Guorong

Subjects
*KANTOROVICH method, *OPERATOR theory, *APPROXIMATION theory, *INTEGERS, *STOCHASTIC convergence, *CONTINUOUS functions
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]

Published
2016
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