New inequalities for F-convex functions pertaining generalized fractional integrals

Author:

Budak Hüseyın,Kösem Pınar,Kashuri Artion

Abstract

In this paper, the authors, utilizing F-convex functions which are defined by B. Samet, establish some new Hermite-Hadamard type inequalities via generalized fractional integrals. Some special cases of our main results recaptured the well-known earlier works.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Medicine

Reference28 articles.

1. H. Budak, M.Z. Sarikaya, and M.K. Yildiz, Hermite-Hadamard type inequalities for F -convex function involving fractional integrals, Filomat, 32 (16) (2018), 5509-5518;

2. H. Budak and M.Z. Sarikaya, On Ostrowski type inequalities for F-convex function, AIP Conference Proceedings, 1833 (020057) (2017). https://doi.org/10.1063/1.4981705;

3. H. Budak, T. Tunç, and M.Z. Sarikaya, On Hermite-Hadamard type inequalities for F-convex functions, Miskolc Mathematical Notes, 20 (1) (2019), 169-191;

4. H. Budak, M.A. Ali and A. Kashuri, Hermite-Hadamard type inequalities for F -convex functions involving generalized fractional integrals, Studia Universitatis Babeş-Bolyai Mathematica, in press;

5. H. Budak, Refinements of Hermite-Hadamard inequality for trigonometrically rconvex functions, Mathematica Moravica, 23 (2) (2019), 87-96;

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