On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Maragheh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we establish some inequalities for generalized fractional integrals by utilizing the assumption that the second derivative of phi(x) = (omega) over bar (kappa(1)kappa(2)/H) is bounded. We also prove again a Hermite-Hadamard type inequality obtained in [34] under the condition phi' (kappa(1) + kappa(2) - H) >= phi' (H) instead of harmonically convexity of (omega) over bar. Moreover, some new inequalities for k-fractional integrals are given as special cases of main results.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard Inequality; Convex Function; Bounded Function, Harmonically Convex-Functions; Fejer Type Inequalities; 2nd Derivatives
Kaynak
Sahand Communications In Mathematical Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
19
Sayı
2
