APPROXIMATION PROPERTIES OF CERTAIN SUMMATION INTEGRAL TYPE OPERATORS

被引：2
|
作者：
Patel, Prashantkumar [1 ,2 ]
Mishra, Vishnu Narayan [1 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India
[2] St Xaviers Coll, Dept Math, Ahmadabad, Gujarat, India
来源：
DEMONSTRATIO MATHEMATICA | 2015年 / 48卷 / 01期
关键词：
Bernstein polynomial; Baskakov operators; direct results; asymptotic formula; rate of convergence; weighted approximation theorem; inverse theorem; better approximation;
D O I：
10.1515/dema-2015-0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study approximation properties of a family of linear positive operators and establish direct results, asymptotic formula, rate of convergence, weighted approximation theorem, inverse theorem and better approximation for this family of linear positive operators.
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页码：77 / 90
页数：14
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