Schur geometric convexity for differences of means.
Schur-convexity for a class of symmetric functions and its applications.
Schur-convexity of the complete elementary symmetric function.
Schur-convexity of two types of one-parameter mean values in variables.
Second-order sufficient condition for -stable functions
The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Segments of Exponential Series and Regularly Varying Sequences
Semicontinuity in for polyconvex integrals
Viene studiata la semicontinuità rispetto alla topologia di per alcuni funzionali del Calcolo delle Variazioni dipendenti da funzioni a valori vettoriali.
Semicopulæ
We define the notion of semicopula, a concept that has already appeared in the statistical literature and study the properties of semicopulas and the connexion of this notion with those of copula, quasi-copula, -norm.
Semicopulas: characterizations and applicability
We characterize some bivariate semicopulas and, among them, the semicopulas satisfying a Lipschitz condition. In particular, the characterization of harmonic semicopulas allows us to introduce a new concept of depedence between two random variables. The notion of multivariate semicopula is given and two applications in the theory of fuzzy measures and stochastic processes are given.
Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
Separate approximate continuity and strong approximate continuity
Separately continuous functions: approximations, extensions, and restrictions.
Short-time heat flow and functions of bounded variation in
We prove a characterisation of sets with finite perimeter and functions in terms of the short time behaviour of the heat semigroup in . For sets with smooth boundary a more precise result is shown.
Singolarità di funzioni semiconcave ed applicazioni al controllo ottimo
Singular dynamics for semiconcave functions
Singular points of order of Clarke regular and arbitrary functions
Let be a separable Banach space and a locally Lipschitz real function on . For , let be the set of points , at which the Clarke subdifferential is at least -dimensional. It is well-known that if is convex or semiconvex (semiconcave), then can be covered by countably many Lipschitz surfaces of codimension . We show that this result holds even for each Clarke regular function (and so also for each approximately convex function). Motivated by a resent result of A.D. Ioffe, we prove...
Singularities and equicontinuity of certain families of set-valued mappings
In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem...
Smoothness of a typical convex function
Sobre la concavidad de t-normas y de funciones triangulares.
In this note we prove that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotent elements, the unique concave triangular function is piM.
Solution de la question 1570, proposée par M. Rouché