On Jakimovski-Leviatan-Paltanea approximating operators involving Boas-Buck-type polynomials

被引：1

作者：

Ansari, Khursheed J. ^{[1
]}

Salman, M. A. ^{[2
]}

Mursaleen, M. ^{[3
,4
]}

Al-Abied, A. H. H. ^{[5
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

[2] Community Coll Qatar, Math & Sci Dept, POB 7344, Doha, Qatar

[3] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[5] Dhamar Univ, Dept Math, Dhamar, Yemen

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2020年 / 32卷 / 07期

关键词：

Szasz operators; Appell polynomials; Phillips operators; Modulus of continuity; Korovkin's theorem; Boas-Buck-type polynomials; INTEGRAL-OPERATORS;

D O I：

10.1016/j.jksus.2020.08.007

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：

A sequence of approximating operators is constructed in the present article with the help of Boas-Bucktype polynomials (BB-polynomials). We called this constructed operator as jakimovski-Leviatan-Paltdnea operators (JLP-operators) involving BB-polynomials. We establish some approximation properties of approximating operators converging towards the function to be approximated. We investigate versatile Korovkin-type property and also demonstrate the rate of convergence. Moreover, some approximation results are given in the weighted spaces. Furthermore, a Voronoskaja type theorem is also proved as well as approximation result when functions belong to the Lipschitzian class. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.

引用

页码：3018 / 3025

页数：8

共 24 条

[1] Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus [J].

Alotaibi, Abdullah ;

Mursaleen, M. .

AIMS MATHEMATICS, 2020, 5 (04) :3019-3034

[2]

ALTOMARE F., 1994, SERIES GRUYTER STUDI, V17

[3]

[Anonymous], 2005, Classical and quantum orthogonal polynomials in one variable

[4] Approximation and error estimation by modified Pltnea operators associating Gould-Hopper polynomials [J].

Ansari, Khursheed J. ;

Rahman, Shagufta ;

Mursaleen, M. .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) :2827-2851

[5] Approximation by Jakimovski-Leviatan operators of Durrmeyer type involving multiple Appell polynomials [J].

Ansari, Khursheed J. ;

Mursaleen, M. ;

Rahman, Shagufta .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) :1007-1024

[6] On Some Statistical Approximation by (p, q)-Bleimann, Butzer and Hahn Operators [J].

Ansari, Khursheed J. ;

Ahmad, Ishfaq ;

Mursaleen, M. ;

Hussain, Iqtadar .

SYMMETRY-BASEL, 2018, 10 (12)

[7] Approximation by Chlodowsky type Jakimovski-Leviatan operators [J].

Buyukyazici, Ibrahim ;

Tanberkan, Hande ;

Serenbay, Sevilay Kirci ;

Atakut, Cigdem .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 :153-163

[8]

Devore R. A., 1993, Constructive Approximation

[9] THEOREMS OF KOROVKIN TYPE [J].

GADZHIEV, AD .

MATHEMATICAL NOTES, 1976, 20 (5-6) :995-998

[10]

Gadzhiev AD., 1974, Sov. Math./Dokl, V15, P1433

← 1 2 3 →