Some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions

Abstract

In this paper, some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions, which are super-multiplicative or super-additive, are given. These results not only generalize those of Set (2012) and Tunc (2012), but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.

arXiv comment7 pages

References in corpus (3)

• New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
• A generalization of Ostrowski inequality on time scales for k points
• The fractional Hardy inequality with a remainder term