Approximation Theorems for Generalized Complex Kantorovich-Type Operators

[摘要] The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complexq-Kantorovich polynomials (q>0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in{z∈ℂ:|z|q, the rate of approximation by theq-Kantorovich operators (q>1) is of orderq−nversus1/nfor the classical Kantorovich operators.

[学科分类] 应用数学