On the convergence properties of generalized Sza<acute accent>sz-Kantorovich type operators involving Frobenious-Euler-Simsek-type polynomials

被引:0
|
作者
Agyuz, Erkan [1 ]
机构
[1] Gaziantep Univ, Naci Topcuoglu Vocat Sch, TR-27310 Gaziantep, Turkiye
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 10期
关键词
Apostol-type polynomials; Euler polynomials; Korovkin theorem; generating functions; modulus of continuity; rate of convergence;
D O I
10.3934/math.20241367
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work focuses on the study of approximation properties of functions by Sza<acute accent>sz type operators involving Frobenius-Euler-Simsek-type polynomials, which have become more popular recently because of their special characteristics and functional organization. The convergence properties such as uniformly convergence and pointwise convergence in terms of modulus of continuity and Peetre-K functional are investigated with the help of these sequences of operators in depth. This paper also includes the estimation of the error of the approximation of these sequences of operators to some particular class of functions. The estimates are depicted using the Maple scientific computing program and presented in tables.
引用
收藏
页码:28195 / 28210
页数:16
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