Approximation by Szasz-Baskakov Operators Based on Boas-Buck-Type Polynomials

被引：5
作者：
Sofyalioglu, Melek [1 ]
Kanat, Kadir [1 ]
机构：
[1] Ankara Haci Bayram Veli Univ, Polatli Fac Sci & Arts, Dept Math, Ankara, Turkey
来源：
FILOMAT | 2022年 / 36卷 / 11期
关键词：
  Boas-Buck-type polynomials; Weighted space; Voronovskaya-type theorem; Weighted Modulus of Continuity;
D O I：
10.2298/FIL2211655S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns with a generalization of Szasz-Baskakov operators, which includes Boas - Buck-type polynomials. The convergence properties are studied in weighted space and the rate of conver- gence is obtained by using weighted modulus of continuity. A Voronovskaya-type theorem is investigated. Also, the theoretical results are demonstrated by choosing the particular cases of Boas-Buck-type polynomi- als, namely Appell polynomials, Hermite polynomials, Gould-Hopper polynomials, Laguerre polynomials and Charlier polynomials.
引用
收藏
页码：3655 / 3673
页数：19
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