Improved Hermite Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals

Year 2019, Volume: 68 Issue: 2, 1556 - 1575, 01.08.2019

Zeynep Şanlı , Tuncay Köroğlu , Mehmet Kunt

https://doi.org/10.31801/cfsuasmas.413019

Cited By: 2

Abstract

In this paper,we proved three new Katugampola fractional Hermite-
Hadamard type inequalities for harmonically convex functions by using the left
and the right fractional integrals independently. One of our Katugampola frac-
tional Hermite-Hadamard type inequalities is better than given in [15]. Also,
we gave two new Katugampola fractional identities for differentiable functions.
By using these identities, we obtained some new trapezoidal type inequalities
for harmonically convex functions. Our results generalize many results from
earlier papers. 

Keywords

Harmonically convex functions, Hermite-Hadamard inequalities, Katugampola fractional integrals

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