In the paper, with help of two known integral identities and by virtue classical Hölder inequality, authors establish several new inequalities Hermite–Hadamard type for convex functions. These newly established generalize some results.

In [11], Kalai investigated the probability of a rational outcome for a generalized social welfare function (GSWF) on three alternatives, when the individual preferences are uniform and independent. In this paper we generalize Kalai’s results to a broader class of distributions of the individual preferences, and obtain new lower bounds on the probability of a rational outcome in several classes...

Abstract There are a lot of papers dealing with applications the so-called cyclic refinement discrete Jensen’s inequality. A significant generalization refinement, based on combinatorial considerations, has recently been discovered by author. In present paper we give integral versions these results. On one hand, new method to refine inequality is developed. other result contains some recent ref...

This paper 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 operation ...