Open AccessFractional integral inequalities of Hermite-Hadamard type for convex functions with respect to a monotone function
Author(s) -
Pshtiwan Othman Mohammed
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2007401m
Subject(s) - mathematics , midpoint , convex function , type (biology) , pure mathematics , hermite polynomials , hadamard transform , riemann–stieltjes integral , monotone polygon , young's inequality , inequality , mathematical analysis , regular polygon , rearrangement inequality , integral equation , log sum inequality , geometry , ecology , biology
In the literature, the left-side of Hermite-Hadamard?s inequality is called a midpoint type inequality. In this article, we obtain new integral inequalities of midpoint type for Riemann-Liouville fractional integrals of convex functions with respect to increasing functions. The resulting inequalities generalize some recent integral inequalities and Riemann-Liouville fractional integral inequalities established in earlier works. Finally, applications of our work are demonstrated via the known special functions.