Further approximations on Durrmeyer modification of Szasz-Mirakjan operators

被引：2
|
作者：
Yadav, Rishikesh [1 ]
Meher, Ramakanta [1 ]
Mishra, Vishnu Narayan [2 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol Surat, Appl Math & Humanities Dept, Surat 395007, Gujarat, India
[2] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 13卷 / 05期
关键词：
Szasz-Mirakjan operators; rate of convergence; Peetres K-functional; function of bounded variation; CONVERGENCE;
D O I：
10.29020/nybg.ejpam.v13i5.3728
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the operators for the functions belonging to the different spaces. Here, the rate of convergence of the said operators is established by means of the function with derivative of the bounded variation. At last, the graphical analysis is discussed to support the approximation results of the operators.
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页码：1306 / 1324
页数：19
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