Journal of Inequalities and Applications (Aug 2019)

Estimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions

  • Shanhe Wu,
  • Muhammad Uzair Awan,
  • Marcela V. Mihai,
  • Muhammad Aslam Noor,
  • Sadia Talib

DOI
https://doi.org/10.1186/s13660-019-2146-z
Journal volume & issue
Vol. 2019, no. 1
pp. 1 – 20

Abstract

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Abstract In this paper the notion of higher order strongly h-preinvex functions is presented, which unifies several known classes of preinvexity. An identity related to the kth order differentiable functions and Riemann–Liouville integrals is established. The identity is then used to obtain some estimates of upper bound for the kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions.

Keywords