Generalization of quantum calculus and corresponding Hermite-Hadamard inequalities
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called (phi-h) integrals and (phi-h) derivatives, respectively. Then we investigate some implicit integral inequalities for (phi-h) integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite-Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and & hstrok;-convex functions defined on the non-negative part of the real line.
Açıklama
Anahtar Kelimeler
(phi-h)-derivative, Jensen inequality, m-convex function, Hermite Hadamard Inequality, Hermite Hadamard Inequality, (phi-h)-integralJensen inequality, & hstrok;-convexfunction
Kaynak
Analysis and Mathematical Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
14
Sayı
5
