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

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Turkish Journal of Science
Volume:1 Issue:1
Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

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

Authors : M Emin ÖZDEMİR, Merve AVCIARDIÇ, Havva KAVURMACIÖNALAN

Pages : 28-40

View : 20 | Download : 10

Publication Date : 2016-12-31

Article Type : Research Paper

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 insert ignore into journalissuearticles values(2011); 5171-5176].
Keywords : s convex function, Hölder inequality, Power mean inequality, Riemann Liouville fractional integral, Euler Gamma function

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