The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field. In recent years, much attention have been given to theory of convexity beca...

In this paper, we concentrate on and investigate the idea of a novel family modified p-convex functions. We elaborate some newly proposed idea’s attractive algebraic characteristics to support it. This is used study integral inequalities in frame Hermite–Hadamard type. A unique equality established for differentiable mappings. The inequality extended estimated number new ways with help strength...

We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n − convex functions; also, we give different versions discrete along with its converses weights. As an application, generalized variants Hermite–Hadamard inequality. has a...

In this article, a general integral identity for twice differentiable mapping involving fractional integral operators is derived. As a second, by using this identity we obtained some new generalized Hermite-Hadamards type inequalities for functions whose absolute values of second derivatives are s-convex and concave. The main results generalize the existing Hermite-Hadamard type inequalities in...