Results 101 to 110 of about 238 (112)

Smooth, strongly smooth and very smooth points of Orlicz-Bochner sequence spaces endowed with the Luxemburg norm

Journal of Mathematical Analysis and Applications
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Wang, Yu, Shi, Zhongrui
exaly   +2 more sources

Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm

Commentationes Mathematicae Universitatis Carolinae, 2021
Summary: We investigate which points in the unit sphere of the Besicovitch-Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
Hassaine, Slimane, Boulahia, Fatiha
openaire   +1 more source

Erratum to the paper “Smooth Points of Orlicz Spaces Equipped with Luxemburg Norm”

Mathematische Nachrichten, 1994
Minor corrections to the paper cited in the title [ibid. 155, 31-45 (1992; Zbl 0795.46016)].
Grząślewicz, R., Hudzik, H.
openaire   +2 more sources

On Some Local Geometry of Orlicz Sequence Spaces Equipped with the Luxemburg Norm

Acta Mathematica Hungarica, 1998
Criteria for strong \(U\)-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund-points and locally uniformly rotund-points in Orlicz sequence spaces equipped with the Luxemburg norm are given and several relations among them are found. It is also shown that in any Banach space \(X\) strong \(U\)-points are exposed
Cui, Y., Hudzik, H., Meng, C.
openaire   +2 more sources

On the continuity of the Luxemburg norm of the gradient in $L^{p(\cdot )}$ with respect to $p(\cdot )$

Proceedings of the American Mathematical Society, 2013
Summary: The asymptotic behavior of a sequence of functionals involving the Luxemburg norm of the gradient in variable exponent Lebesgue spaces is studied in the framework of \(\Gamma\)-convergence. As a consequence, we prove the convergence of minima for closely related functionals to a corresponding quantity associated to the \(\Gamma\)-limit.
Bocea, Marian, Mihăilescu, Mihai
openaire   +2 more sources

K-extreme point of generalized orlicz sequence spaces with Luxemburg norm

Commentationes Mathematicae, 2013
In this paper,we give necessary and sufficient conditions in order that a point \(u\in S(l_{({\it \Phi})})\) is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones.
openaire   +1 more source

Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm

Mathematische Nachrichten, 1992
AbstractSmooth points of the unit sphere of ORLICZ spaces equipped with LUXEMBURG norm are characterized for a non‐atomic measure as well as for the counting measure. As a corollary, a criterion of smoothness of ORLICZ spaces with LUXEMBURG norm is obtained.
Grzaślewicz, R., Hudzik, H.
openaire   +1 more source

Poincaré’s inequality for the Luxemburg norm of a variable exponent which depends on the test functions

Georgian Mathematical Journal
Abstract In this paper we prove a Poincaré-type inequality within the framework of Luxemburg norms constructed by using some continuous and bounded functions which depend on the test functions.
Andrei Grecu, Mihai Mihăilescu, Anisia Teca   +2 more
openaire   +1 more source

Hardy's inequality for orlicz-luxemburg norms

Acta Mathematica Hungarica, 1990
openaire   +1 more source

Orlicz and Luxemburg Norm Inequalities

1990
openaire   +1 more source