On generalization of different type inequalities for (α,m)-convex functions via fractional integrals

Year 2016, Volume: 4 Issue: 3, 49 - 57, 30.09.2016

İmdat Iscan , Mustafa Aydin Kerim Bekar

Abstract

 In this paper,
new identity for fractional integrals have been defined. By using of this
identity, the authors obtained new general inequalities containing all of
Hadamard, Ostrowski and Simpson type inequalities for functions whose
derivatives in absolute value at certain power are -convex via Riemann Liouville fractional integral.

Keywords

Hermite–Hadamard inequality, Riemann–Liouville fractional integral, (α

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