Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

Abstract

New identity for fractional integrals have been defined. By using this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. It has been determined that the results are related to the results of Avcı et al., proved in [4, published in Appl. Math. Comput., 217 (2011) 5171-5176].

Keywords

• s-convex function,Hölder inequality,Power-mean inequality,Riemann Liouville fractional integral,Euler Gamma function

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