MMN-3073
New extensions of the Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
H. Budak; H. Kara; M. Z. Sarikaya; M. E. Kiriş;Abstract
In this study, we establish the above and below bounds for the left and right hand sides of fractional Hermite-Hadamard inequalities by using functions whose second derivatives are bounded. We also give some refinements of fractional Hermite-Hadamard inequalities by using the functions that have the conditions $f^{\prime }(a+b-t)-f^{\prime }(t)\geq 0,$ $t\in \left[ a,\frac{a+b}{2}\right] .$
Vol. 21 (2020), No. 2, pp. 665-678