%0 Journal Article
%T Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals
%A Hao Wang
%J Open Access Library Journal
%V 7
%N 9
%P 1-13
%@ 2333-9721
%D 2020
%I Open Access Library
%R 10.4236/oalib.1106793
%X In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex. We derive several parameterized generalized Hermite-Hadamard inequalities by using the obtained equation. More new inequalities can be presented by taking special parameter values for λ, μ and p. Also, we provide two examples to illustrate our results.
%K p-Convex Mappings
%K Katugampola Fractional Integrals
%K Hermite-Hadamard¡¯s Inequalities
%U http://www.oalib.com/paper/5668618