Some approximation results for generalized Kantorovich-type operators

Journal of inequalities and applications

Mohammad Mursaleen¹ 

关键词: Lagrange polynomial;    Korovkin approximation theorems;    A-statistical convergence;    Kantorovich-type operators;    positive linear operators;    modulus of continuity;    Peetre’s K-functional;    Lipschitz class;   

DOI  :  10.1186/1029-242X-2013-585

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we construct a new family of operators, prove some approximation results in A-statistical sense and establish some direct theorems for Kantorovich-type integral operators. MSC: Primary 41A10, 41A25, 41A36.

【 授权许可】

CC BY