Some statistical approximation properties of Kantorovich-type q -Bernstein-Stancu operators

Journal of inequalities and applications

Mei-Ying Ren¹ 

关键词: Kantorovich-type q-Bernstein-Stancu operators;    statistical approximation;    q-integers;    modulus of continuity;    Korovkin-type theorem;    rate of statistical convergence;   

DOI  :  10.1186/1029-242X-2014-10

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper two kinds of Kantorovich-type q-Bernstein-Stancu operators are introduced, and the statistical approximation properties of these operators are investigated. Furthermore, by means of modulus of continuity, the rates of statistical convergence of these operators are also studied. MSC:41A10, 41A25, 41A36.

【 授权许可】

CC BY