EuDML | Browse

The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, Hölder and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee the validity of the discussed inequalities are given. Moreover, the comonotonicity of the considered functions...

The Choquet integral representation in the affine vector-valued case.

Paulette Saab (1980)

Aequationes mathematicae

The classification problem in Teoplitz $Z_{2}$ -extensions

Tadeusz Rojek (1989)

Compositio Mathematica

The coarsest topology for $I$ -approximately continuous functions

Ewa Łazarow (1986)

Commentationes Mathematicae Universitatis Carolinae

The complexity of the set of squares in the homeomorphism group of the circle

Paul Gartside, Bojana Pejić (2007)

Fundamenta Mathematicae

The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.

The consistency of some theorems concerning Lebesgue measure (Preliminary communication)

Lev Bukovský (1965)

Commentationes Mathematicae Universitatis Carolinae

The construction of a function given by moments. (La construction de quelque fonction par des moments donnés.)

Mihăilă, Janina Mihaela, Olteanu, Octav, Udrisţe, Constantin (2008)

Balkan Journal of Geometry and its Applications (BJGA)

The continuity of subtraction and the Hausdorff property in spaces of Borel measures.

Andreas Schief (1988)

Mathematica Scandinavica

The Convergence in L... of Singular Integrals in Harmonic Analysis and Ergodic Theory.

Maria Lorente (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

The converse of the Fatou theorem for smooth measures.

Dubtsov, E.S. (2004)

Zapiski Nauchnykh Seminarov POMI

The Convex Hull of a Typical Compact Set.

J.A. Wieacker (1988)

Mathematische Annalen

The covering property for σ-ideals of compact, sets

Carlos Uzcátegui (1992)

Fundamenta Mathematicae

The covering property for σ-ideals of compact sets is an abstract version of the classical perfect set theorem for analytic sets. We will study its consequences using as a paradigm the σ-ideal of countable closed subsets of $2^{ω}$ .

The Denjoy extension of the Bochner, Pettis, and Dunford integrals

R. Gordon (1989)

Studia Mathematica

The Denjoy extension of the Riemann and McShane integrals

Jae Myung Park (2000)

Czechoslovak Mathematical Journal

In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval $[a, b]$ into a Banach space $X .$ It is shown that a Denjoy-Bochner integrable function on $[a, b]$ is Denjoy-Riemann integrable on $[a, b]$ , that a Denjoy-Riemann integrable function on $[a, b]$ is Denjoy-McShane integrable on $[a, b]$ and that a Denjoy-McShane integrable function on $[a, b]$ is Denjoy-Pettis integrable on $[a, b] .$ In addition, it is shown that for spaces that do not contain a copy of $c_{0}$ , a measurable Denjoy-McShane integrable...

The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables

Miroslav Zelený (2008)

Annales de l’institut Fourier

We construct a differentiable function $f : R^{n} \to R$ ( $n \geq 2$ ) such that the set ${(\nabla f)}^{- 1} (B (0, 1))$ is a nonempty set of Hausdorff dimension $1$ . This answers a question posed by Z. Buczolich.

The density at infinity of a discrete group of hyperbolic motions

Dennis Sullivan (1979)

Publications Mathématiques de l'IHÉS

The dimension of analytic sets

Herrmann Haase (1988)

Acta Universitatis Carolinae. Mathematica et Physica

Currently displaying 41 – 60 of 290

Previous Page 3 Next