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

Authors :
Zeng, Liang
Cai, Qing-Bo
Xu, Xiao-Wei
Source :
Mathematics (2227-7390). Feb2020, Vol. 8 Issue 2, p291. 1p.
Publication Year :
2020

Abstract

In the present paper, Kantorovich type λ -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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
8
Issue :
2
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
142266661
Full Text :
https://doi.org/10.3390/math8020291