New extensions of the Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

[摘要] 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 0 (a+b−t)− f 0 (t) ≥ 0, t ∈ h a, a+b 2 i .

[学科分类] 数学（综合）

[关键词] Hermite-Hadamard inequality;integral inequalities;bounded functions