On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals

KUNT, MEHMET; Iscan, Imdat; Yazici, NAZLI; GÖZÜTOK, UĞUR

doi:10.1186/s40064-016-2215-4

On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals

Atıf İçin Kopyala

KUNT M. , Iscan I., Yazici N. , GÖZÜTOK U.

SPRINGERPLUS, cilt.5, 2016 (SCI İndekslerine Giren Dergi)

Cilt numarası: 5
Basım Tarihi: 2016
Doi Numarası: 10.1186/s40064-016-2215-4
Dergi Adı: SPRINGERPLUS

Özet

In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works.