Approximation by genuine Gupta-Srivastava operators

被引:12
作者
Pratap, Ram [1 ]
Deo, Naokant [1 ]
机构
[1] Delhi Technol Univ, Dept Appl Math, Bawana Rd, Delhi 110042, India
关键词
Baskakov operators; Hypergeometric function; Function of Bounded variation;
D O I
10.1007/s13398-019-00633-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we consider new operators, which is defined by Gupta and Srivastava (Eur J Pure Appl Math 11(3):575-579, 2018). They considered a general sequence of positive linear operators and gave the modified form of their previous operators (Neer et al. in Math Comput Model 37:1307-1315, 2003). As these operators preserve linear functions, we call these operators as genuine Gupta-Srivastava operators. Here we discuss some basic properties, direct results and rate of convergence of functions of bounded variation and weighted approximation.
引用
收藏
页码:2495 / 2505
页数:11
相关论文
共 19 条
[1]   Direct Results for Certain Summation-Integral Type Baskakov-Szasz Operators [J].
Acu, Ana Maria ;
Gupta, Vijay .
RESULTS IN MATHEMATICS, 2017, 72 (03) :1161-1180
[2]   Approximation Properties of the Modified Stancu Operators [J].
Acu, Ana Maria ;
Agrawal, P. N. ;
Neer, Trapti .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (03) :279-292
[3]  
Bustamante Jorge, 2017, BERNSTEIN OPERATORS
[4]   Generalized Positive Linear Operators Based on PED and IPED [J].
Deo, Naokant ;
Dhamija, Minakshi .
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A2) :507-513
[5]   Faster rate of convergence on Srivastava-Gupta operators [J].
Deo, Naokant .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) :10486-10491
[6]  
DeVore R A., 1993, Constructive Approximation
[7]  
Gadzhiev A. D., 1976, MAT ZAMETKI, V20, P781, DOI DOI 10.1016/J.JMAA.2006.04.070
[8]   An estimate on the convergence of Baskakov-Bezier operators [J].
Gupta, V .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (01) :280-288
[9]  
Gupta V., 2018, Recent Advances in Constructive Approximation Theory
[10]  
Gupta V, 2016, CONVERGENCE ESTIMATE