Premium
Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function
Author(s) -
Mohammed Pshtiwan Othman
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5784
Subject(s) - mathematics , hermite polynomials , convex function , hadamard transform , monotone polygon , pure mathematics , type (biology) , function (biology) , mathematical analysis , regular polygon , ecology , biology , geometry , evolutionary biology
In this article, we have established new Hermite–Hadamard's type inequalities for Riemann–Liouville fractional integrals of convex functions with respect to increasing functions. Our obtained inequalities generalize some recent obtained inequalities in the literature involving classical integrals and Riemann–Liouville fractional integrals. Finally, applications of our work are demonstrated via the known special functions of real numbers.