Generalized (H, ϕ)-Convexity and New Hermite-Hadamard Type Inequalities
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Murat TOSUN
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a novel class of convex functions, called (H, ϕ)-convex functions, defined via a general parametric mean ϕ and a weighting function H. This new convexity notion encompasses several well-known classes such as standard convexity, s-convexity, h-convexity, and m-convexity as particular cases. We provide illustrative examples demonstrating that this class is genuinely more general. Furthermore, we derive a new Hermite-Hadamard type inequality tailored to the (H, ϕ)-convex framework. Our results extend and unify various existing inequalities in the literature. © 2025, Murat TOSUN. All rights reserved.
Açıklama
Anahtar Kelimeler
Convex function, h-convex function, Hermite-Hadamard inequality, m-convex function, s-convex function
Kaynak
Mathematical Sciences and Applications E-Notes
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
13
Sayı
4
