Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are arithmetically harmonically (AH) convex. In the last part of the article, applications including arithmetic mean, geometric mean, harmonic mean, logarithmic mean and p-logarithmic mean, which are some special means of real numbers, are given by using arithmetic harmonically convex functions.
Açıklama
Anahtar Kelimeler
Convex function, Arithmetic-harmonically convex function, Hermite-Hadamard and Bullen type inequality.
Kaynak
Cumhuriyet Science Journal
WoS Q Değeri
Scopus Q Değeri
Cilt
43
Sayı
3
