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.

In this paper, we obtain new generalization of Hermite-Hadamard inequalities via generalized fractional integrals defined by Sarikaya and Ertu?ral in [12]. We establish some midpoint trapezoid type for functions whose first derivatives absolute value are convex involving integrals.

Abstract In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and m -convex functions. The Hölder inequality is used to create class, which has wide range applications in optimization theory. Some trapezoid-type midpoint error estimates are investigated. Inequalities several q -special functions highlighted. As particular cases, have included previous results.

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...

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

Abstract In the preset study, we introduce new class of convex fuzzy-interval-valued functions which is called log- h -convex (log- FIVFs) by means fuzzy order relation. We have also investigated some properties FIVFs. Using this class, present Jensen and Hermite–Hadamard inequalities (HH-inequalities). Moreover, useful examples are presented to verify HH-inequalities for Several known special ...

In this work, the concepts of quantum derivative and integral were renamed to be left definite integral. Symmetrically left, a new (the right) defined. Some properties these investigated as well according do some inaccuracies in inequalities corrected. Moreover, Hermite-Hadamard type established.

Abstract The main aim of this paper is establishing some new Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities, which can be used as auxiliary tools in the study solutions to differential equations equations. Applications are also given explicate availability our results.

In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of  Hermite-Hadamard inequality for convex functions.