Open AccessOn inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
Author(s) -
Thabet Abdeljawad,
Muhammad Aamir Ali,
Pshtiwan Othman Mohammed,
Artion Kashuri
Publication year - 2020
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.2021043
Subject(s) - mathematics , hadamard transform , hermite polynomials , differentiable function , type (biology) , convex function , pure mathematics , inequality , fractional calculus , mathematical analysis , regular polygon , geometry , ecology , biology
The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard-Mercer type inequality for differentiable convex functions. Further remarks and observations for these results are given. Finally, we see the efficiency of our inequalities via some applications on special means.