Open AccessHermite-Hadamard-Fejér type fractional inequalities relating to a convex harmonic function and a positive symmetric increasing function
Author(s) -
Muhammad Amer Latif,
AUTHOR_ID,
Humaira Kalsoom,
Zareen A. Khan,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022232
Subject(s) - mathematics , midpoint , convex function , type (biology) , harmonic function , pure mathematics , harmonic , function (biology) , fractional calculus , mathematical analysis , hermite polynomials , regular polygon , physics , geometry , ecology , quantum mechanics , evolutionary biology , biology
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.