APPROXIMATION BY MODIFIED SZÁSZ OPERATORS WITH A NEW MODIFICATION OF BRENKE TYPE POLYNOMIALS

被引：1
作者：
Kumar, Ajay [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 49卷 / 01期
关键词：
Rate of convergence; Modulus of continuity; Sz & aacute; sz Operators; Voronovskaja type theorem; SZASZ; VARIANT;
D O I：
10.46793/KgJMat2501.111K
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present article we study the approximation properties of modified Sz & aacute;sz operators with a new modification of Brenke type polynomials. First, we estimate the rate of convergence, for the newly defined operators, by means of modulus of smoothness, Peetre's K-functional and Lipschitz type functions. Furthermore, we also prove a Voronovskaja type asymptotic theorem.
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收藏
页码：111 / 124
页数：14
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