Hermite-Hadamard-Fejér type fractional inequalities relating to a convex harmonic function and a positive symmetric increasing function

The purpose of this article is to discuss some midpoint type HHF fractional integral inequalities and related results for a class of fractional operators (weighted fractional operators) that refer to harmonic convex functions with respect to an increasing function that contains a positive weighted s...

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Veröffentlicht in:AIMS mathematics 2022, Vol.7 (3), p.4176-4198
Hauptverfasser: Latif, Muhammad Amer, Kalsoom, Humaira, Khan, Zareen A.
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of this article is to discuss some midpoint type HHF fractional integral inequalities and related results for a class of fractional operators (weighted fractional operators) that refer to harmonic convex functions with respect to an increasing function that contains a positive weighted symmetric function with respect to the harmonic mean of the endpoints of the interval. It can be concluded from all derived inequalities that our study generalizes a large number of well-known inequalities involving both classical and Riemann-Liouville fractional integral inequalities.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022232