On the generalization of some Hermite – Hadamard inequalities for functions with convex absolute values of the second derivatives via fractional integrals

  • F. X. Chen

Abstract

We provide a unified approach to getting Hermite – Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann – Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality, Simpson’s inequality, and midpoint inequality are also presented.
Published
25.12.2018
How to Cite
ChenF. X. “On the Generalization of Some Hermite – Hadamard Inequalities for Functions With Convex Absolute Values of the Second Derivatives via Fractional Integrals”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 12, Dec. 2018, pp. 1696-0, http://umj.imath.kiev.ua/index.php/umj/article/view/1668.
Section
Research articles