Integral-type generalizations of operators obtained from certain multivariate polynomials

被引：0
|
作者：
Esra Erkuş-Dumanß
Oktay Duman
机构：
[1] Gazi University,
[2] Faculty of Sciences and Arts,undefined
[3] Department of Mathematics,undefined
[4] Teknikokullar TR-06500,undefined
[5] Ankara,undefined
[6] TOBB Economics and Technology University,undefined
[7] Faculty of Arts and Sciences,undefined
[8] Department of Mathematics,undefined
[9] Söğütözü TR-06530,undefined
[10] Ankara,undefined
来源：
Calcolo | 2008年 / 45卷
关键词：
Statistical Convergence; Approximation Theorem; Convergent Sequence; Multivariate Polynomial; Follow Auxiliary Result;
D O I：
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学科分类号：
摘要：
In this work, we mainly focus on the Kantorovich-type (integral-type) generalizations of the positive linear operators obtained from the Chan-Chyan-Srivastava multivariable polynomials. Using the notion of A-statistical convergence, we obtain various approximation theorems including a statistical Korovkin-type result and rates of A-statistical convergence with the help of the modulus of continuity, Lipschitz class functionals and Peetre’s K-functionals. We also introduce an sth order generalization of our approximating operators.
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页码：53 / 67
页数：14
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