Local and global results for modified Szasz-Mirakjan operators

被引：52
|
作者：
Gandhi, R. B. [1 ,2 ]
Deepmala [3 ]
Mishra, Vishnu Narayan [1 ,4 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol, Appl Math & Humanities Dept, Dumas Rd, Surat 395007, Gujarat, India
[2] Birla Vishwakarma Mahavidyalaya Engn Coll, Dept Math, Anand 388120, Gujarat, India
[3] Indian Stat Inst, SQC & OR Unit, 203 Barrackpore Trunk Rd, Kolkata 700108, W Bengal, India
[4] ITI, L 1627 Awadh Puri Colony Beniganj,Phase 3, Faizabad 224001, Uttar Pradesh, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 07期
关键词：
Szasz-Mirakjan operators; the Korovkin-type approximation result; K-functional; modulus of smoothness; Voronovskaja-type result; polynomial weight spaces; direct and inverse results; APPROXIMATION THEOREMS;
D O I：
10.1002/mma.4171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a natural modification of Szasz-Mirakjan operators. It is shown by discussing many important established results for Szasz-Mirakjan operators. The results do hold for this modification as well, be they local in nature or global, be they qualitative or quantitative. It is also shown that this generalization is meaningful by means of examples and graphical representations. Copyright (C) 2016 John Wiley & Sons, Ltd.
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页码：2491 / 2504
页数：14
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