New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-07-17

AUTHORS

Xiaoli Qiang, Ghulam Farid, Muhammad Yussouf, Khuram Ali Khan, Atiq Ur Rahman

ABSTRACT

The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions. Fractional integral operators involving an extended generalized Mittag-Leffler function which are further generalized via a monotone increasing function are utilized to get these generalized fractional versions. The results of this paper give several consequent fractional inequalities for harmonically convex functions for known fractional integral operators deducible from utilized generalized fractional integral operators. More... »

PAGES

191

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-020-02457-y

DOI

http://dx.doi.org/10.1186/s13660-020-02457-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1129450013


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