A-Statistical Convergence Properties of Kantorovich Type λ-Bernstein Operators Via (p, q)-Calculus

Mathematics

Xiao-Wei Xu¹  Liang Zeng²  Qing-Bo Cai³ 

[1] School of Computer and Data Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China;

关键词: a-statistical convergence;    λ-bernstein operators;    (p, q)-calculus;    modulus of continuity;    rate of convergence;   

DOI  :  10.3390/math8020291

来源: DOAJ

【 摘 要 】

In the present paper, Kantorovich type $\lambda$ -Bernstein operators via (p, q)-calculus are constructed, and the first and second moments and central moments of these operators are estimated in order to achieve our main results. An A-statistical convergence theorem and the rate of A-statistical convergence theorems are obtained according to some analysis methods and the definitions of A-statistical convergence, the rate of A-statistical convergence and modulus of smoothness.

【 授权许可】

Unknown