Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions
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Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Maragheh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We first construct new Hermite-Hadamard type in-equalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard fractional integrals. Afterwards, Trapezoid and Mid-point type results involving generalized fractional integrals for func-tions whose the derivatives in modulus and their certain powers are convex are established. We also recapture the previous results in the particular situations of the inequalities which are given in the earlier works.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard Inequalities; Generalized Fractional Integrals; Convex Functions, Fejer Type Inequalities; Differentiable Mappings; Real Numbers
Kaynak
Sahand Communications In Mathematical Analysis
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
20
Sayı
2
