On s-Convexity of Dual Simpson Type Integral Inequalities-Reference-Cited by-同舟云学术

On s-Convexity of Dual Simpson Type Integral Inequalities

Published:2023-03-15 Issue:3 Volume:15 Page:733
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Chiheb Tarek¹,Boulares Hamid¹,Imsatfia Moheddine²^ORCID,Meftah Badreddine¹,Moumen Abdelkader³^ORCID

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria

2. Mathematics Department, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

3. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia

Abstract

Integral inequalities are a powerful tool for estimating errors of quadrature formulas. In this study, some symmetric dual Simpson type integral inequalities for the classes of s-convex, bounded and Lipschitzian functions are proposed. The obtained results are based on a new identity and the use of some standard techniques such as Hölder as well as power mean inequalities. We give at the end some applications to the estimation of quadrature rules and to particular means.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/733/pdf

Reference15 articles.

1. Pećarixcx, J.E., Proschan, F., and Tong, Y.L. (1992). Convex Functions, Partial Orderings, and Statistical Applications; Mathematics in Science and Engineering, Academic Press, Inc.

2. General three-point quadrature formulae with applications for α-L-Hölder type functions;Bakula;J. Math. Inequal.,2008

3. General dual Euler-Simpson formulae;Vukelixcx;J. Math. Inequal.,2008

4. On dual Euler-Simpson formulae;Matixcx;Bull. Belg. Math. Soc. Simon Stevin,2001

5. Schur convexity and the dual Simpson’s formula;Li;J. Appl. Math. Phys.,2016

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