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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry (Basel) 2023-12, Vol.15 (12), p.2178
Hauptverfasser: Chiheb, Tarek, Meftah, Badreddine, Moumen, Abdelkader, Mesmouli, Mouataz Billah, Bouye, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
(s, m)-preinvex functions
Convex analysis
discrete power mean inequality
hypergeometric function
Hölder inequality
Inequalities
Inequality
Mathematical programming
Quadratures
Simpson inequality
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15122178