Modified Kantorovich operators with better approximation properties

被引：44

作者：

Gupta, Vijay ^{[1
]}

Tachev, Gancho ^{[2
]}

Acu, Ana-Maria ^{[3
]}

机构：

[1] Netaji Subhas Inst Technol, Dept Math, Sect 3 Dwarka, New Delhi 110078, India

[2] Univ Architecture Civil Engn & Geodesy, Dept Math, BG-1046 Sofia, Bulgaria

[3] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr I Ratiu 5-7, RO-550012 Sibiu, Romania

来源：

NUMERICAL ALGORITHMS | 2019年 / 81卷 / 01期

关键词：

Approximation by polynomials; Kantorovich polynomials; Voronovskaja-type theorem;

D O I：

10.1007/s11075-018-0538-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study a new kind of Bernstein-Kantorovich-type operators. Here, we discuss a uniform convergence estimate for this modified form. Also, some direct estimates, which involve the asymptotic-type results, are established. Some numerical examples which show the relevance of the results are considered.

引用

页码：125 / 149

页数：25

共 17 条

[11] Introduction: Agrarian Change, Rural Poverty and Land Reform in South Africa since 1994 [J].

O'Laughlin, Bridget ;

Bernstein, Henry ;

Cousins, Ben ;

Peters, Pauline E. .

JOURNAL OF AGRARIAN CHANGE, 2013, 13 (01) :1-15

[12] Smoothness Properties of Modified Bernstein-Kantorovich Operators [J].

Ozarslan, Mehmet Ali ;

Duman, Oktay .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2016, 37 (01) :92-105

[13]

Popoviciu T., 1934, MATH CLUJ, V10, P49

[14]

Popoviciu T., 1942, ANN SCI U IASI SECT, V28, P208

[15] The complete asymptotic expansion for Bernstein operators [J].

Tachev, Gancho T. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (02) :1179-1183

[16]

Voronovskaja E., 1932, Dokl. Akad. Nauk SSSR, V4, P86

[17]

Weierstrass K.G., 1885, ANALYTISCHE DARSTELL, V633, P789

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