Convergence of λ-Bernstein operators based on (p, q)-integers

Abstract In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional and moduli of continuity, and also give...

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Bibliographic Details
Main Authors: Qing-Bo Cai, Wen-Tao Cheng
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-020-2309-y