TY - JOUR
AU - F. X. Chen
PY - 2018/12/25
Y2 - 2020/12/02
TI - On the generalization of some Hermite – Hadamard inequalities for functions with convex absolute values of the second derivatives via fractional integrals
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 12
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1668
AB - 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.
ER -