title: On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals.
abstract: 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.
authors.affiliation: Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey.
authors.forename: Mehmet
authors.initials: M
authors.lastname: Kunt
authors.affiliation: Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Turkey.
authors.forename: İmdat
authors.initials: İ
authors.lastname: İşcan
authors.affiliation: Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey.
authors.forename: Nazlı
authors.initials: N
authors.lastname: Yazıcı
authors.affiliation: Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey.
authors.forename: Uğur
authors.initials: U
authors.lastname: Gözütok
keywords: Harmonically convex functions; Hermite–Hadamard inequality; Hermite–Hadamard–Fejer inequality; Riemann–Liouville fractional integrals