Abstract In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for k k -fractional integrals involving r r -times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version left and right sides generalized convex functions av...

In this paper, the integral identity for differentiable functions with wide range of applications is investigated. As an effect result, paper provides some new Hermite-Hadamard type inequalities that are in absolute value h-preinvex. Several special cases also discussed. At end, means given as well.

In this paper, authors introduce a new extension of ??convexity called ?? preinvexity and generalize the discussed results by Wu et al. in ?On class convex functions integral inequalities?. Some special cases are deduced from main results. At end, briefly conclusion is given.

The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the as an auxiliary result, we will obtain some variants Hermite–Hadamard’s inequality essentially via class ψ-preinvex To support our results, offer applications to special means positive real numbers and functions that are in absolute value bounded well.

For generalized variational-like inequalities, by combining the auxiliary principle technique with the bundle idea for nonconvex nonsmooth minimization, we present an implementable iterative method. To make the subproblem easier to solve, even though the preinvex function may not be convex, we still consider using the model similar to the one in [R. Mifflin, A modification and extension of Lema...