EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 21 – 38 of 38

Continuity of monotone functions

Boris Lavrič (1993)

Archivum Mathematicum

It is shown that a monotone function acting between euclidean spaces $R^{n}$ and $R^{m}$ is continuous almost everywhere with respect to the Lebesgue measure on $R^{n}$ .

Continuity of Nemyckij's operator in Hölder spaces

Pavel Drábek (1975)

Commentationes Mathematicae Universitatis Carolinae

Continuity of order-preserving functions

Boris Lavrič (1997)

Commentationes Mathematicae Universitatis Carolinae

Let the spaces $𝐑^{m}$ and $𝐑^{n}$ be ordered by cones $P$ and $Q$ respectively, let $A$ be a nonempty subset of $𝐑^{m}$ , and let $f : A ⟶ 𝐑^{n}$ be an order-preserving function. Suppose that $P$ is generating in $𝐑^{m}$ , and that $Q$ contains no affine line. Then $f$ is locally bounded on the interior of $A$ , and continuous almost everywhere with respect to the Lebesgue measure on $𝐑^{m}$ . If in addition $P$ is a closed halfspace and if $A$ is connected, then $f$ is continuous if and only if the range $f (A)$ is connected.

Continuity of the superposition of set-valued functions.

Merentes, N., Nikodem, K., Rivas, S. (1997)

Journal of Applied Analysis

Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité

Guy Bouchitte (1986/1987)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)

Mentagui, D., El Hajioui, K. (2002)

Publications de l'Institut Mathématique. Nouvelle Série

Convergence on almost every line for functions with gradient in $L^{p} (𝐑^{n})$

Charles Fefferman (1974)

Annales de l'institut Fourier

We prove that if $grad (f) \in L^{p} (R^{n})$ for certain values of $p$ , then $lim_{x_{1} \to \infty} f (x_{1}, x_{2}, ..., x_{n}) = const., a.e. in R^{n - 1} .$

Convessità in dimensione finita

Andrea Colesanti (1998)

Bollettino dell'Unione Matematica Italiana

Convex and monotone operator functions

Jaspal Singh Aujla, H. L. Vasudeva (1995)

Annales Polonici Mathematici

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.

Baricz, Árpád (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Convexity-like inequalities for averages in a convex set.

Mihai Dragomirescu, Constantin Ivan (1993)

Aequationes mathematicae

Convexity-like inequalities for averages in a convex set. (Summary).

Mihai Dragomirescu, Constantin Ivan (1993)

Aequationes mathematicae

Convolution of radius functions on ℝ³

Konstanty Holly (1994)

Annales Polonici Mathematici

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...