The Integral Type Modification of Jain Operators and its Approximation Properties

被引：6
作者：
Mishra, Vishnu Narayan [1 ]
Patel, Prashantkumar [2 ]
Mishra, Lakshmi Narayan [3 ]
机构：
[1] Indira Gandhi Natl Tribal Univ, Dept Math, Lalpur Amarkantak Anuppu 484887, Madhya Pradesh, India
[2] St Xaviers Coll Autonomous, Dept Math, Ahmadabad, Gujarat, India
[3] Vellore Inst Technol VIT Univ, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 12期
关键词：
Jain operators; King-type operators; weighted approximation;
D O I：
10.1080/01630563.2018.1477796
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we discuss the approximation properties of Durrmeyer-Stancu type variant of Jain operators with the modified forms of the Beta basis functions. We establish some direct results, which include the asymptotic formula, the error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct a King modification of these operators which preserves the test functions e(0) and e(1).
引用
收藏
页码：1265 / 1277
页数：13
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