Fractional Integral Inequalities for Strongly h -Preinvex Functions for a kth Order Differentiable Functions

Saima Rashid, Muhammad Amer Latif, Zakia Hammouch, Yu-Ming Chu
2019 Symmetry  
The objective of this paper is to derive Hermite-Hadamard type inequalities for several higher order strongly h -preinvex functions via Riemann-Liouville fractional integrals. These results are the generalizations of the several known classes of preinvex functions. An identity associated with k-times differentiable function has been established involving Riemann-Liouville fractional integral operator. A number of new results can be deduced as consequences for the suitable choices of the
more » ... rs h and σ . Our outcomes with these new generalizations have the abilities to be implemented for the evaluation of many mathematical problems related to real world applications.
doi:10.3390/sym11121448 fatcat:7jthtt42uncljiom6reiit34q4