IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Authors : Zeynep ŞANLI, Mehmet KUNT, Tuncay KÖROĞLU

Pages : 461-474

View : 31 | Download : 6

Publication Date : 2019-06-01

Article Type : Research Paper

Abstract :In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently. One of our Katugampola fractional Hermite-Hadamard type inequalities is better than given by Chen and Katugampola. Also, we gave two new Katugampola fractional identities for differentiable functions. By using these identities, we obtained some new trapezoidal type inequalities for convex functions. Our results generalize earlier results.
Keywords : Hermite Hadamard inequalities, Katugampola fractional integrals, convex functions

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