Some new versions of jensen, schur and hermite-hadamard type inequalities for (P,j)-convex fuzzy-interval-valued functions
Yükleniyor...
Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
To create various kinds of inequalities, the idea of convexity is essential. Convexity and integral inequality hence have a significant link. This study's goals are to introduce a new class of generalized convex fuzzy-interval-valued functions (convex FIVFs) which are known as (p,J) -convex FIVFs and to establish Jensen, Schur and Hermite-Hadamard type inequalities for (p,J) -convex FIVFs using fuzzy order relation. The Kulisch-Miranker order relation, which is based on interval space, is used to define this fuzzy order relation level-wise. Additionally, we have demonstrated that, as special examples, our conclusions encompass a sizable class of both new and well-known inequalities for (p,J) -convex FIVFs. We offer helpful examples that demonstrate the theory created in this study's application. These findings and various methods might point the way in new directions for modeling, interval-valued functions and fuzzy optimization issues. © 2023, American Institute of Mathematical Sciences. All rights reserved.
Açıklama
Anahtar Kelimeler
(p,J)-convex fuzzy-interval-valued function, Fuzzy Riemann integral, Hermite-Hadamard type inequality, Hermite-Hadamard-Fejér type inequality, Jensen type inequality, Schur type inequality
Kaynak
AIMS Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
8
Sayı
3
