Approximation of Schurer type q -Bernstein-Kantorovich operators

Journal of inequalities and applications

Mei-Ying Ren¹ 

关键词: Schurer type q-Bernstein-Kantorovich operators;    Korovkin type approximation theorem;    rate of convergence;    q-integers;    modulus of continuity;    41A10;    41A25;    41A36;   

DOI  :  10.1186/s13660-015-0601-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a kind of Schurer type q-Bernstein-Kantorovich operators is introduced. The Korovkin type approximation theorem of these operators is investigated. The rates of convergence of these operators are also studied by means of the modulus of continuity and the help of functions of the Lipschitz class. Then, the global approximation property is given for these operators.

【 授权许可】

CC BY