Generalization of the Fuzzy Fejér–Hadamard Inequalities for Non-Convex Functions over a Rectangle Plane

Autor: Hanan Alohali, Valer-Daniel Breaz, Omar Mutab Alsalami, Luminita-Ioana Cotirla, Ahmed Alamer
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Axioms, Vol 13, Iss 10, p 684 (2024)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms13100684
Popis: Integral inequalities with generalized convexity play a vital role in both theoretical and applied mathematics. The theory of integral inequalities is one of the branches of mathematics that is now developing at the quickest rate due to its wide range of applications. We define a new Hermite–Hadamard inequality for the novel class of coordinated ƛ-pre-invex fuzzy number-valued mappings (C-ƛ-pre-invex FNVMs) and examine the idea of C-ƛ-pre-invex FNVMs in this paper. Furthermore, using C-ƛ-pre-invex FNVMs, we construct several new integral inequalities for fuzzy double Riemann integrals. Several well-known results, as well as recently discovered results, are included in these findings as special circumstances. We think that the findings in this work are new and will help to stimulate more research in this area in the future. Additionally, unique choices lead to new outcomes.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje