*Correspondence: [email protected] 1Department of Mathematics, Indian Institute of Technology, Roorkee, 247 667, India Full list of author information is available at the end of the article Abstract In this paper, a pair of Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established consider...

Abstract. We use the results by Eisenbud and Schreyer [3] to prove that any Betti diagram of a graded module over a standard graded polynomial ring is a positive linear combination Betti diagrams of modules with a pure resolution. This implies the Multiplicity Conjecture of Herzog, Huneke and Srinivasan [5] for modules that are not necessarily Cohen-Macaulay. We give a combinatorial proof of th...

Abstract. A Banach space X is superreflexive if each Banach space Y that is finitely representable in X is reflexive. Superreflexivity is known to be equivalent to J-convexity and to the non-existence of uniformly bounded factorizations of the summation operators Sn through X. We give a quantitative formulation of this equivalence. This can in particular be used to find a factorization of Sn th...

Abstract We give a short proof of the free analogue of the Talagrand inequality for the transportation cost to the semicircular which was originally proved in [1]. The proof is based on a convexity argument and is in the spirit of the original Talagrand’s proof from [8]. We also discuss the convergence, fluctuations and large deviations of the energy of the eigenvalues of β ensembles, which giv...

This article is devoted to adverse selection problems in which individual private information is a whole utility function and cannot be reduced to some nite-dimensional parameter. In this case, incentive compatibility conditions can be conveniently expressed using some abstract convexity notions arising in Mass Transfer Theory 8]. After this characterization is provided, an existence result of ...

Objective: To evaluate the influence of age, gender, sagittal occlusal relationship, facial pattern and 8 facial profile measures on profile aesthetics. Methods: Contingency tables, chi-square test and Cramer’s coefficient were used to evaluate the possible association between the scores assigned by 32 examiners (14 orthodontists, 12 laypeople and 6 artists) to the aesthetics of the profile of ...

Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions" (2016). Faculty Publications, Department of Mathematics. 87. Abstract In this article we discuss some of the qualitative properties of fractional difference operators. We especially focus on the connections between the fractional difference operator and the mon...

Abstract. We consider a model system describing the two-dimensional flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with hysteresis nonlinearities is e...

Abstract. We consider a question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provide a computer assisted proof for the following facts: local uniqueness and convexity of Chenciner and Montgomery Eight, an existence (and local uniqueness) for Gerver’s SuperEight for 4-bodies and a doubly sy...

In the last decades, many problems involving equilibria, arising from engineering, physics and economics, have been formulated as variational mathematical models. In turn, these models can be reformulated as optimization problems through merit functions. This paper aims at reviewing the literature about merit functions for variational inequalities, quasi-variational inequalities and abstract eq...