Some Simpson-like Inequalities Involving the (s,m)-Preinvexity-Reference-Cited by-同舟云学术

Some Simpson-like Inequalities Involving the (s,m)-Preinvexity

Published:2023-12-08 Issue:12 Volume:15 Page:2178
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Chiheb Tarek¹,Meftah Badreddine¹,Moumen Abdelkader²,Mesmouli Mouataz Billah²,Bouye Mohamed³

Affiliation:

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

2. Department of Mathematics, College of Science, University of Ha’il, P.O. Box 2240, Ha’il 55473, Saudi Arabia

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

Abstract

In this article, closed Newton–Cotes-type symmetrical inequalities involving four-point functions whose second derivatives are (s,m)-preinvex in the second sense are established. Some applications to quadrature formulas as well as inequalities involving special means are provided.

Funder

Scientific Research Deanship at University of Ha’il—Saudi Arabia

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/15/12/2178/pdf

Reference35 articles.

1. Hermite-Hadamard’s inequalities for functions whose first derivatives are (s,m)-preinvex in the second sense;Meftah;J. New Theory,2016

2. Pećarixcx, J.E., Proschan, F., and Tong, Y.L. (1992). Mathematics in Science and Engineering, Academic Press, Inc.

3. Toader, G. (1984, January 25–27). Some generalizations of the convexity. Proceedings of the Colloquium on Approximation and Optimization, Cluj-Napoca, Romania.

4. Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen;Breckner;Publ. Inst. Math.,1978

5. Some remarks on (s,m)-convexity in the second sense;Eftekhari;J. Math. Inequal.,2014