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

[1]

DeVore R. A., 1993, Constructive Approximation

[2] Better approximation results by Bernstein–Kantorovich operators [J].

Dhamija M. ;

Deo N. .

Lobachevskii Journal of Mathematics, 2017, 38 (1) :94-100

[3] An answer to a conjecture on Bernstein operators [J].

Gavrea, Ioan ;

Ivan, Mircea .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 390 (01) :86-92

[4]

GONSKA H, 2015, MATH, V52, P103

[5]

GONSKA H, 1960, MAT VESNIK, V61, P53

[6]

Gonska H. H., 1979, THESIS

[7]

Gupta V., 2014, Convergence Estimates in Approximation Theory

[8]

Gupta V., 2017, APPROXIMATION POSITI

[9]

Kantorovich L. V., 1930, CR ACAD URSS, V563-568, P595

[10] A new approach to improve the order of approximation of the Bernstein operators: theory and applications [J].

Khosravian-Arab, Hassan ;

Dehghan, Mehdi ;

Eslahchi, M. R. .

NUMERICAL ALGORITHMS, 2018, 77 (01) :111-150

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