q -Bernstein-Schurer-Kantorovich Operators

Journal of inequalities and applications

Mehmet Ali Ö¹ 

关键词: q-analysis;    q-integral operator;    positive linear operators;    q-Bernstein operators;    modulus of continuity;   

DOI  :  10.1186/1029-242X-2013-444

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, we introduce the q-Bernstein-Schurer-Kantorovich operators. We give the Korovkin-type approximation theorem and obtain the rate of convergence of this approximation by means of the first and the second modulus of continuity. Moreover, we compute the order of convergence of the operators in terms of the elements of Lipschitz class functions and the modulus of continuity of the derivative of the function. MSC: 41A10, 41A25, 41A36.

【 授权许可】

CC BY