Conditions pour que les constantes arbitraires d'une expression générale soient distinctes entre elles.
Construction of aggregation operators: new composition method
A new construction method for aggregation operators based on a composition of aggregation operators is proposed. Several general properties of this construction method are recalled. Further, several special cases are discussed. It is also shown, that this construction generalizes a recently introduced twofold integral, which is exactly a composition of the Choquet and Sugeno integral by means of a min operator.
Continuity of monotone functions
It is shown that a monotone function acting between euclidean spaces and is continuous almost everywhere with respect to the Lebesgue measure on .
Continuity of Nemyckij's operator in Hölder spaces
Continuity of order-preserving functions
Let the spaces and be ordered by cones and respectively, let be a nonempty subset of , and let be an order-preserving function. Suppose that is generating in , and that contains no affine line. Then is locally bounded on the interior of , and continuous almost everywhere with respect to the Lebesgue measure on . If in addition is a closed halfspace and if is connected, then is continuous if and only if the range is connected.
Continuity of the superposition of set-valued functions.
Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité
Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)
Convergence on almost every line for functions with gradient in
We prove that if for certain values of , then
Convessità in dimensione finita
Convex and monotone operator functions
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.
Convexity-like inequalities for averages in a convex set.
Convexity-like inequalities for averages in a convex set. (Summary).
Convolution of radius functions on ℝ³
We reduce the convolution of radius functions to that of 1-variable functions. Then we present formulas for computing convolutions of an abstract radius function on ℝ³ with various integral kernels - given by elementary or discontinuous functions. We also prove a theorem on the asymptotic behaviour of a convolution at infinity. Lastly, we deduce some estimates which enable us to find the asymptotics of the velocity and pressure of a fluid (described by the Navier-Stokes equations) in the boundary...
Convolution operators with homogeneous singular measures on of polynomial type. The remainder case.
Corrections to the Paper: Variational Problems with Non-Convex Obstacles and an Integral-Constraint for Vector-Valued Functions.
Corrigendum to the paper "On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in R^{n}" (Studia Mathematica 87 (1987), 23-32)
Critical values lie on a line.
Curvilinear integrals along enriched paths.