WEIGHTED A-STATISTICAL CONVERGENCE AND BOGEL APPROXIMATION BY OPERATORS OF EXPONENTIAL TYPE

被引：0
|
作者：
Agrawal, P. N.
Acu, A. M.
Chauhan, R.
机构：
[1] Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee
[2] Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str Dr I Ratiu,No. 5–7, Sibiu
[3] Department of Mathematics, K. G. K. (P. G.) College, Moradabad
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词：
Rate of convergence; modulus of continuity; Bo?gel continuous; rth order gen-eralization; GBS operator; weighted A-statistical convergence; DURRMEYER OPERATORS; THEOREMS;
D O I：
10.7153/jmi-2022-16-57
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a proper definition of an exponential type operator proposed by Ismail and May [21] so that it acts from C(S) into C(S) and explore its non-multiplicativity, rth order generalization and weighted A-statistical convergence in the univariate case. Next, we define properly the associated tensor product of the operators and investigate its approximation proper-ties. Lastly, we introduce the associated Generalized Boolean Sum (GBS) operators and present error estimates using mixed modulus of smoothness for Bo center dot gel continuous functions.
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页码：827 / 828
页数：2
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