Simpson type Katugampola fractional integral inequalities via Harmonic convex functions

Zeynep Sanlı

doi:10.26637/mjm1004/007

Abstract

In this paper, the new lemma of Simpson type Katugampola fractional integral equality for harmonically convex functions is attained. With the help of this equality, some new results related to Simpson-like type Katugampola fractional integral inequalities are obtained. Then, some conclusions are given for some special cases of Katugampola fractional integrals when \rho\to 1.

Keywords:

Simpson inequality, Katugampola fractional integral, harmonic convex.

Mathematics Subject Classification:

26D15, 26D10, 34A08

Authors Imprint References Funding Related Articles Downloads

Zeynep Sanlı Faculty of Science and Letters, Department of Mathematics, Mersin University, Mersin, Turkey. https://orcid.org/0000-0002-1564-2634

Pages: 364-373
Date Published: 01-10-2022
Vol. 10 No. 04 (2022): Malaya Journal of Matematik (MJM)

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