In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some  inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.

In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some HermiteHadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex ...

Abstract In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion $q^{b}$ qb -integral. We prove some new related with right-hand sides -Hermite–Hadamard for differentiable absolute values second derivatives. The results present...

Keywords: m-convex functions Hermite–Hadamard inequalities Hölder inequality Power-mean inequality a b s t r a c t In this paper we give some estimates to the right-hand side of Hermite–Hadamard inequality for functions whose absolute values of second derivatives raised to positive real powers are m-convex.

Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text]-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

The classical Hermite-Hadamard inequality characterizes the continuous convex functions of one real variable. The aim of the present paper is to give an analogous characterization for functions of a vector variable. 1. The Hermite-Hadamard inequality In a letter sent on November 22, 1881, to the journal Mathesis (and published there two years later), Ch. Hermite [10] noted that every convex fun...

Some recent and classical integral inequalities are extended to the general timescale calculus, including the inequalities of Steffensen, Iyengar, Čebyšev, and Hermite-Hadamard.

Some new Hermite-Hadamard type inequalities for differentiable convex functions were presented by Xi and Qi. In this paper, we present new generalizations on the Xi-Qi inequalities.

In this study, the Hermite–Hadamard–Fejér inequalities for GA-h-convex are proved, and results particular classes of functions highlighted. addition, several generalizations Hermite–Hadamard presented. Some features H F that naturally linked to Hermite–Hadamard–Fejér-type have also been discussed. Finally, we obtain applications related p-logarithmic mean order p.

An interesting property of the midpoint rule and trapezoidal rule, which is expressed by the so-called Hermite–Hadamard inequalities, is that they provide one-sided approximations to the integral of a convex function. We establish multivariate analogues of the Hermite–Hadamard inequalities and obtain access to multivariate integration formulae via convexity, in analogy to the univariate case. I...