Ostrowski type inequalities for harmonically s-convex functions via fractional integrals

In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established.Comment: 14 page

Ostrowski type inequalities for harmonically s-convex functions

The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 page

On new general integral inequalities for h- convex functions

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are h-convex and we point out the results for some special classes of functions. Some applications to special means of real numbers are also given.Comment: 18 page