Temat: Lipschitz - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A survey on Lipschitz-free Banach Spaces
Autorzy:: Godefroy, Gilles
Powiązania:: https://bibliotekanauki.pl/articles/746348.pdf
Data publikacji:: 2015
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Lipschitz maps
geometry of Banach spaces
Opis:: This article is a survey of Lipschitz\dywiz free Banach spaces and recent progress in the understanding of their structure. The results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self\dywiz contained presentation of the basic properties of Lipschitz\dywiz free Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, norm\dywiz attainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.
Źródło:: Commentationes Mathematicae; 2015, 55, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Approximation of functions from \(L^p(\omega)_\beta\) by linear operators of their Fourier series
Autorzy:: Łenski, Włodzimierz
Szal, Bogdan
Powiązania:: https://bibliotekanauki.pl/articles/744850.pdf
Data publikacji:: 2011
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Rate of approximation
Summability of Fourier series
Lipschitz classes
Opis:: We show the results corresponding to theorems of S. Lal [Appl. Math. Comput., 209 (2009) 346-350] on the rate of approximation of functions from the generalized integral Lipschitz classes by matrix summability means of their Fourier series as well as to the authors theorems [Acta Comment. Univ. Tartu. Math., 13 (2009), 11-24] also on such approximations.
Źródło:: Commentationes Mathematicae; 2011, 51, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On pointwise convergence of nets of Mellin-Kantorovich convolution operators
Autorzy:: Bardaro, Carlo
Mantellini, Ilaria
Powiązania:: https://bibliotekanauki.pl/articles/744939.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Mellin-Kantorovich convolution operators, Mellin derivatives, moments, Lipschitz conditions, Voronovskaja formula
Opis:: Here we study pointwise approximation and asymptotic formulae for a class of Mellin-Kantorovich type integral operators, both in linear and nonlinear form.
Źródło:: Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Order of approximation for nonlinear sampling Kantorovich operators in Orlicz spaces
Autorzy:: Costarelli, Danilo
Vinti, Gianluca
Powiązania:: https://bibliotekanauki.pl/articles/745018.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Nonlinear sampling Kantorovich operators, Orlicz spaces, order of approximation, Lipschitz classes, irregular sampling
Opis:: In this paper, we study the rate of approximation for the nonlinear sampling Kantorovich operators. We consider the case of uniformly continuous and bounded functions belonging to Lipschitz classes of the Zygmund-type, as well as the case of functions in Orlicz spaces. We estimate the aliasing errors with respect to the uniform norm and to the modular functional of the Orlicz spaces, respectively. The general setting of Orlicz spaces allows to deduce directly the results concerning the rate of convergence in \(L^p\)-spaces, \(1 \miu p\) < \(\infty\), very useful in the applications to Signal Processing. Others examples of Orlicz spaces as interpolation spaces and exponential spaces are discussed and the particular cases of the nonlinear sampling Kantorovich series constructed using Fej\'er and B-spline kernels are also considered.
Źródło:: Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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