On generalization of different type inequalities for (α,m)-convex functions via fractional integrals
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)Publication Date: 2016-06-01
Authors : Imdat Iscan; Mustafa Aydın; Kerim Bekar;
Page : 49-57
Keywords : Hermite-Hadamard inequality Riemann--Liouville fractional integral (αm)-convex function;
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 (alpha,m)-convex via Riemann Liouville fractional integral.
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