Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1
GENERALIZED FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (a,m; )-CONVEX FUNCTIO
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 333–344
- DOI
- —
Abstract
In the present article, we derive some new inequalities of HermiteHadamard type involving left-sided and right-sided generalized fractional integral operators for products of two m-convex and (a; m)- convex functions,respectively. It is worth mentioning that the presented results have close connection with those in [6]. These new results generalize the existing HermiteHadamard type inequalities for products of two functions. Therefore the ideasof this article may stimulate further research in this field.