Approximation by Riemann-Liouville type fractional α -Bernstein-Kantorovich operators

被引：12

作者：

Berwal, Sahil ^{[1
]}

Mohiuddine, S. A. ^{[2
,3
]}

Kajla, Arun ^{[1
]}

Alotaibi, Abdullah ^{[3
]}

机构：

[1] Cent Univ Haryana, Sch Basic Sci, Jaat 123031, Haryana, India

[2] King Abdulaziz Univ, Appl Coll, Dept Gen Required Courses, Math, Jeddah, Saudi Arabia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期

关键词：

Chebyshev-Gruss inequality; Gruss-Voronovskaya; modulus of continuity; Riemann-Liouville type fractional; GRUSS-TYPE; INEQUALITIES; VARIANT;

D O I：

10.1002/mma.10014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research paper, we construct a new sequence of Riemann-Liouville type fractional alpha-Bernstein-Kantorovich operators. We prove a Korovkin type approximation theorem and discuss the rate of convergence with the first order modulus of continuity of these operators. Further, we study Voronovskaja type theorem, quantitative Voronovskaya type theorem, Chebyshev-Gruss inequality and Gruss-Voronovskaya type theorem.

引用

页码：8275 / 8288

页数：14

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