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Some computational aspects of smooth approximation
The paper is devoted to the problem of smooth approximation of data. We are concerned with the exact interpolation of the data at nodes and, at the same time, with the smoothness of the interpolating curve and its derivativ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Smooth approximation of data with applications to interpolating and smoothings
In the paper, we are concerned with some computational aspects of smooth approximation of data. This approach to approximation employs a (possibly infinite) linear combinations of smooth functions with coefficients...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Smooth Approximations
) mapping f: X-} Y can be approximated (even in a fine topology) by smooth Lipschitz-reflexive space). Further, we show how smooth approximation of Lipschitz mappings is closely related to a smooth app...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Smooth approximation and its application to some 1D problems
at nodes given and also with the smoothness of the interpolating curve and its derivatives. This task is called the problem of smooth approximation of data with constraints. We discuss the proper choice of basis systems fo...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Uniformly Gâteaux Smooth Approximations on c0(Gamma)
Every Lipschitz mapping from c0(Gamma) into a Banach space Y can be uniformly approximated by Lipschitz mappings that are simultaneously uniformly Gateaux smooth and Cinfty Frechet smooth....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Uniformly Gâteaux approximations of Lipschitz functions on c0(.GAMMA.)
We prove that every Lipschitz operator from c0(.GAMMA.) is uniformly approximable by C.INFIN. smooth and uniformly Gâteaux smooth operator....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Smooth approximation spaces based on a periodic system
A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an approach employs a (possibly infinite) linear combination of smooth problem.While the minimization guarantees the smoothness
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Smooth approximations without critical points
In any separable Banach space containing c0 which admits a Ck-smooth bump, every continuous function can be approximated by a Ck-smooth function whose range of derivative is of the first category. Moreover, the approxim...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some remarks on smooth renormings of Banach spaces
We prove that in every separable Banach space X with a Schauder basis and a Ck-smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with a Ck-smooth one in a way that the approxima...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A periodic basis system of the smooth approximation space
The paper is primarily devoted to the problem of smooth interpolation of data concerned with the smoothness of the interpolating curve and its derivatives of the space where we measure the smoothness of the result. It also ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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