- Turkish Journal of Science
- Vol: 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 AVCI-ARDIÇ, Havva KAVURMACI-ÖNALAN
Pages : 28-40
View : 8 | Download : 2
Publication Date : 2016-12-31
Article Type : Research
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