Sz谩sz type operators involving Charlier polynomials

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• 作者：Serhan Varma ; ^{svarma@science.ankara.edu.tr} ; Fatma Ta艧delen ^{tasdelen@science.ankara.edu.tr}
• 关键词：Szá ; sz operator ; Modulus of continuity ; Rate of convergence ; Charlier polynomials
• 刊名：Mathematical and Computer Modelling
• 出版年：2012
• 期刊代码：86_08957177
• 类别：cp
• 出版时间：September, 2012
• 卷：56
• 期：5-6
• 页码：118-122
• 文件大小：212 K

摘要

The purpose of this work is to give a form of positive linear operators involving Charlier polynomials, one of the discrete orthogonal polynomials which are generalization of Sz谩sz operators. Also, Kantorovich type generalization of these operators are given. We obtain convergence properties of our operators with the help of Korovkin鈥檚 theorem and the order of approximation by using classical modulus of continuity.