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

QB Cai, WT Cheng - Journal of Inequalities and Applications, 2020 - Springer
QB Cai, WT Cheng
Journal of Inequalities and Applications, 2020Springer
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 a convergence theorem for the Lipschitz continuous functions.
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 a convergence theorem for the Lipschitz continuous functions.
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