On New Generalized Fractional Integral Operators and Related Fractional Inequalities
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mehmet Zeki SARIKAYA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we define the generalized $k$-fractional integrals of a function with respect to the another function which generalizes many different types of fractional integrals such as Riemann-Liouville fractional, Hadamard fractional integrals, Katugampola fractional integral, $(k,s)$-fractional integral operators. Moreover, we obtain Hermite-Hadamard inequalities utilizing $k$-fractional integrals of a function with respect to the another function. We also investigate trapezoid inequalities for the functions whose derivatives in absolute value are convex. Finally, some special cases of these inequalities are given.
Açıklama
Anahtar Kelimeler
Fractional integral operators|Hermite-Hadamard inequality|midpoint inequality|convex function.
Kaynak
Konuralp Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
2
