Abstract In both theoretical and applied mathematics fields, integral inequalities play a critical role. Due to the behavior of definition convexity, concepts convexity inequality depend on each other. Therefore, relationship between symmetry is strong. Whichever one we work on, introduced new class generalized convex function known as LR- $$\left({h}_{1}, {h}_{2}\right)$$ <mml:math xmlns:mml="...

This article presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs). This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operatio...

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, obtained a generalization Ostrowski Besides, derived some new inequalities related to these

It is well known that the Hermite–Hadamard inequality (called HH inequality) refines definition of convexity function f(x) defined on [a,b] by using integral from a to b. There are many generalizations or refinements inequality. Furthermore has applications several fields mathematics, including numerical analysis, functional and operator Recently, we gave types refined inequalities obtained whi...

Abstract In the paper, authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, prove extensions of inequality integrals without using harmonic convexity property functions. The results offered here are refinements existing

In this paper, we give converses of the Jensen and Edmundson– Lah–Ribarič inequalities which are more accurate than the existing ones. These converses are given in a difference form and they rely on the recent refinement of the Jensen inequality obtained via linear interpolation of a convex function. As an application, we also derive improved converse relations for generalized means, for the Hö...

We present an extension of the proximal point method with Bregman distances to solve Variational Inequality Problems (VIP) on Hadamard manifolds (simply connected finite dimensional Riemannian manifold with nonpositive sectional curvature). Under some natural assumption, as for example, the existence of solutions of the (VIP) and the monotonicity of the multivalued vector field, we prove that t...

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, 35195-363, Iran Full list of author information is available at the end of the article Abstract In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We pr...

We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving six parameters truncated Mittag–Leffler function Gamma function. In view of these, we obtain some integral inequalities Steffensen, Hermite–Hadamard, Chebyshev, Ostrowski, Grüss type to calculus.

In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales. The cases of inequality with a weighted function three variables are also considered minutely.