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Displaying 481 – 500 of 537

The structure of the $σ$ -ideal of $σ$ -porous sets

Miroslav Zelený, Jan Pelant (2004)

Commentationes Mathematicae Universitatis Carolinae

We show a general method of construction of non- $σ$ -porous sets in complete metric spaces. This method enables us to answer several open questions. We prove that each non- $σ$ -porous Suslin subset of a topologically complete metric space contains a non- $σ$ -porous closed subset. We show also a sufficient condition, which gives that a certain system of compact sets contains a non- $σ$ -porous element. Namely, if we denote the space of all compact subsets of a compact metric space $E$ with the Vietoris topology...

The van der Put base for $C^{n}$ -functions.

De Smedt, Stany (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

The weak McShane integral

Mohammed Saadoune, Redouane Sayyad (2014)

Czechoslovak Mathematical Journal

We present a weaker version of the Fremlin generalized McShane integral (1995) for functions defined on a $σ$ -finite outer regular quasi Radon measure space $(S, Σ, 𝒯, μ)$ into a Banach space $X$ and study its relation with the Pettis integral. In accordance with this new method of integration, the resulting integral can be expressed as a limit of McShane sums with respect to the weak topology. It is shown that a function $f$ from $S$ into $X$ is weakly McShane integrable on each measurable subset of $S$ if and only if...

The Weierstrass-Stone approximation theorem for $p$ -adic $C^{n}$ -functions

J. Araujo, Wim H. Schikhof (1994)

Annales mathématiques Blaise Pascal

The Zahorski theorem is valid in Gevrey classes

Jean Schmets, Manuel Valdivia (1996)

Fundamenta Mathematicae

Let Ω,F,G be a partition of $ℝ^{n}$ such that Ω is open, F is $F_{σ}$ and of the first category, and G is $G_{δ}$ . We prove that, for every γ ∈ ]1,∞[, there is an element of the Gevrey class Γγ which is analytic on Ω, has F as its set of defect points and has G as its set of divergence points.

Théorème de Newton pour les fonctions de classe $C^{r}$

Gérard Barbançon (1972)

Annales scientifiques de l'École Normale Supérieure

Theory of hypernumbers and extrafunctions: functional spaces and differentiation.

Burgin, Mark (2002)

Discrete Dynamics in Nature and Society

Theory of rapid variation on time scales with applications to dynamic equations

Jiří Vítovec (2010)

Archivum Mathematicum

In the first part of this paper we establish the theory of rapid variation on time scales, which corresponds to existing theory from continuous and discrete cases. We introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. In the second part of this paper, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying. Note...

Time-delay and fractional derivatives.

Machado, J.A.Tenreiro (2011)

Advances in Difference Equations [electronic only]

Transformadas De Poisson De Funciones No-Estandares.

Yu Takeuchi (1984)

Revista colombiana de matematicas

Translation of nonstandard definitions to standard ones

Karel Čuda (1984)

Commentationes Mathematicae Universitatis Carolinae

Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.

Anna Kolesárová (1998)

Mathware and Soft Computing

The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.

Ueber Functionen, welche in gewissen Punkten endliche Differentialquotienten jeder endlichen Ordnung, aber keine Taylor'sche Reihenentwickelung besitzen

A. Pringsheim (1894)

Mathematische Annalen

Currently displaying 481 – 500 of 537

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Displaying 481 – 500 of 537

The structure of the $σ$ -ideal of $σ$ -porous sets

The van der Put base for $C^{n}$ -functions.

The weak McShane integral

The Weierstrass-Stone approximation theorem for $p$ -adic $C^{n}$ -functions

The Zahorski theorem is valid in Gevrey classes

Théorème de Newton pour les fonctions de classe $C^{r}$

Theory of hypernumbers and extrafunctions: functional spaces and differentiation.

Theory of rapid variation on time scales with applications to dynamic equations

Time-delay and fractional derivatives.

Transformadas De Poisson De Funciones No-Estandares.

Translation of nonstandard definitions to standard ones

Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.

Trichotomy, stability, and oscillation of a fuzzy difference equation.

Two sharp inequalities for power mean, geometric mean, and harmonic mean.

Ueber die Gültigkeits-Bedingungen des Taylor'schen Lehrsatzes für reelle Veränderliche.

Ueber die nothwendigen und hinreichenden Bedingungen des Taylor'schen Lehrsatzes für Functionen einer reellen Variablen

Ueber Functionen, welche in gewissen Punkten endliche Differentialquotienten jeder endlichen Ordnung, aber keine Taylor'sche Reihenentwickelung besitzen

Ultraproducts in Banach space theory.

Ultrapuissances et applications dans le cadre de l'analyse non standard

Un modèle de filtres pour l'analyse réelle synthétique

Currently displaying 481 – 500 of 537