In this paper, some extensions of recent results on Choi-Davis-Jensen’s inequality due to Khosravi et al. [M. Khosravi, J.S. Aujla, S.S. Dragomir, and M.S. Moslehian. Refinements of ChoiDavis-Jensen’s inequality. Bulletin of Mathematical Analysis and Applications, 3:127–133, 2011.] and Fujii et al. [J.-I. Fujii, J. Pečarić, and Y. Seo. The Jensen inequality in an external formula. Journal of Ma...

In this paper we consider Jessen’s functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results, known from the literature. In particular, we obtain the whole series of refinements and converses of numerous classical inequalities such as ...

This article provides an introduction to the normative approach to inequality measurement. Multivariate generalizations of the procedures used to construct univariate inequality indices from social evaluation orderings are described. Axiomatizations of multivariate Atkinson, Kolm– Pollak, and generalized Gini indices are discussed. Maasoumi’s [Econometrica (1986)] two-stage procedure for constr...

Variational inequalities theory has been widely used in many fields, such as economics, physics, engineering, optimization and control, transportation [1, 4]. Like convexity to mathematical programming problem (MP), monotonicity plays an important role in solving variational inequality (VI). To investigate the variational inequality, many kinds of monotone mappings have been introduced in the l...

——————————————————————————————– Abstract: In this paper, we study the support vector machine and introduced the notion of generalized support vector machine for classification of data. We show that the problem of generalized support vector machine is equivalent to the problem of generalized variational inequality and establish various results for the existence of solutions. Moreover, we provide...

the facet of knapsack ploytope, i.e. convex hull of 0-1 points satisfying a given linear inequality has been presented in this current paper. such type of facets plays an important role in set covering set partitioning, matroidal-intersection vertex- packing, generalized assignment and other combinatorial problems. strong covers for facets of knapsack ploytope has been developed in the first pa...

In the paper, the second Kershaw’s double inequality concerning ratio of two gamma functions is refined, extended and generalized elegantly.

In this paper, we classify sets of solutions of the next generalized Cîrtoaje's inequality and its reverse, respectively.

In this paper generalized triangle inequality and its reverse in a p-Fréchet space where, 0 < p < 1 are obtained.

A generalization of an inequality involving the generalized elementary symmetric mean and its elementary proof are given.