HERMITE-HADAMARD TYPE INEQUALITIES FOR THE ABK-FRACTIONAL INTEGRALS

ARTION KASHURI

HERMITE-HADAMARD TYPE INEQUALITIES FOR THE ABK-FRACTIONAL INTEGRALS

Authors

ARTION KASHURI Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania https://orcid.org/0009-0005-3174-762X

Keywords:

Hermite-Hadamard inequality, H¨older inequality, power mean inequality, Katugampola fractional integral, AB-fractional integral

Abstract

The author introduced the new fractional integral operator called ABK-fractional integral and proved four identities for this type. By applying the established identities, some integral inequalities connected with the right hand side of the Hermite-Hadamard type inequalities for the ABK-fractional integrals are given. Various special cases have been identified. The ideas of this paper may stimulate further research in the field of integral inequalities.

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Published

2021-03-12

How to Cite

ARTION KASHURI. (2021). HERMITE-HADAMARD TYPE INEQUALITIES FOR THE ABK-FRACTIONAL INTEGRALS. Journal of Computational Analysis and Applications (JoCAAA), 29(2), 309–326. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/152