Modified α-Bernstein-Durrmeyer-Type Operators

被引：0
|
作者：
Agrawal, P. N. [1 ]
Kajla, Arun [2 ]
Singh, Sompal [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Cent Univ Haryana, Dept Math, Jant 123031, Haryana, India
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2021年 / 45卷 / 06期
关键词：
Peetre's K-functional; Ditzian-Totik modulus of smoothness; Voronovskaja-type theorem; Gruss Voronovskaja-type theorem; Functions of bounded variation; APPROXIMATION PROPERTIES; POLYNOMIALS; CONVERGENCE; DERIVATIVES; THEOREM;
D O I：
10.1007/s40995-021-01197-y
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we construct a Durrmeyer variant of the modified alpha-Bernstein-type operators introduced by Kajla and Acar (Ann Funct Anal 10(4):570-582, 2019), for alpha is an element of[0,1]. We investigate the degree of approximation via the approach of Peetre's K-functional and the Lipschitz-type maximal function. The quantitative Voronovskaja- and Gruss Voronovskaja-type theorems are discussed. Further, we determine the rate of convergence by the above operators for the functions with derivatives of bounded variation.
引用
收藏
页码：2049 / 2061
页数：13
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