Higher-Order Bernstein-Kantorovich Operators

被引：2

作者：

Anjali, Vijay ^{[1
]}

Gupta, Vijay ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2023年 / 93卷 / 02期

关键词：

Higher-order Bernstein-Kantorovich operators; Asymptotic formula; Error estimations; Moment generating function; APPROXIMATION;

D O I：

10.1007/s40010-022-00804-w

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper, we consider the higher order (j-th order, j is an element of N-0 ) Bernstein-Kantorovich operators, which are connected with the Bernstein polynomials. We estimate some direct results including the Voronovskajakind asymptotic formula, simultaneous approximation and error estimations. In the end, we present comparative study through graphical representation and numerically interpret the upper bound of the error value.

引用

页码：233 / 242

页数：10

共 20 条

[11]

Gonska H, 2007, STUD U BABES-BOL MAT, V52, P103

[12] Higher order Kantorovich operators based on inverse Polya-Eggenberger distribution [J].

Gupta, Vijay ;

Anjali .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (01)

[13] Higher order Lupas-Kantorovich operators and finite differences [J].

Gupta, Vijay .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (03)

[14]

Gupta V, 2016, FACTA UNIV-SER MATH, V31, P79

[15]

Kantorovich L.V., 1930, C. R. Acad, V563-568, P595

[16]

Korovkin P. P, 1960, Linear Operators and Approximation Theory

[17] (p, q)-Beta functions and applications in approximation [J].

Milovanovic, Gradimir V. ;

Gupta, Vijay ;

Malik, Neha .

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018, 24 (01) :219-237

[18] KANTOROVIC OPERATORS OF 2ND ORDER [J].

NAGEL, J .

MONATSHEFTE FUR MATHEMATIK, 1983, 95 (01) :33-44

[19] Higher order Kantorovich-type Szasz-Mirakjan operators [J].

Sabancigil, Pembe ;

Kara, Mustafa ;

Mahmudov, Nazim, I .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)

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

Tachev, Gancho T. .

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

← 1 2 →