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

[摘要] 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.

[学科分类] 电力

[关键词] λ -Bernstein operators;( p;q )-integers;Moduli of continuity;Rate of convergence;Lipschitz continuous functions