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Smoothness of spline spaces and wavelet decompositions. / Dem'yanovich, Yu K.

в: Doklady Akademii Nauk, Том 401, № 4, 23.11.2005, стр. 439-442.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Dem'yanovich, YK 2005, 'Smoothness of spline spaces and wavelet decompositions', Doklady Akademii Nauk, Том. 401, № 4, стр. 439-442.

APA

Dem'yanovich, Y. K. (2005). Smoothness of spline spaces and wavelet decompositions. Doklady Akademii Nauk, 401(4), 439-442.

Vancouver

Dem'yanovich YK. Smoothness of spline spaces and wavelet decompositions. Doklady Akademii Nauk. 2005 Нояб. 23;401(4):439-442.

Author

Dem'yanovich, Yu K. / Smoothness of spline spaces and wavelet decompositions. в: Doklady Akademii Nauk. 2005 ; Том 401, № 4. стр. 439-442.

BibTeX

@article{1a15f2a8882442718fb2ecc45cd4552e,
title = "Smoothness of spline spaces and wavelet decompositions",
abstract = "Minimal (non-polynomial) splines are constructed on a non-homogeneous meshes, the continuity condition for these splines and their derivatives in mesh points are formulated. The uniqueness conditions for linear spaces of smooth splines are given and their embedment is established for any sequence of refining meshes (at arbitrary refinement). Simple realizations of the system of functionals, biorthogonal to those corresponding to basis system, are constructed. As result, new wavelet decompositions are obtained, as well as direct solutions to interpolation problems in the spaces of polynomial and non-polynomial minimal splines. Theory is illustrated by examples of result application for m= 2.",
author = "Dem'yanovich, {Yu K.}",
year = "2005",
month = nov,
day = "23",
language = "English",
volume = "401",
pages = "439--442",
journal = "ДОКЛАДЫ АКАДЕМИИ НАУК",
issn = "0869-5652",
publisher = "Издательство {"}Наука{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Smoothness of spline spaces and wavelet decompositions

AU - Dem'yanovich, Yu K.

PY - 2005/11/23

Y1 - 2005/11/23

N2 - Minimal (non-polynomial) splines are constructed on a non-homogeneous meshes, the continuity condition for these splines and their derivatives in mesh points are formulated. The uniqueness conditions for linear spaces of smooth splines are given and their embedment is established for any sequence of refining meshes (at arbitrary refinement). Simple realizations of the system of functionals, biorthogonal to those corresponding to basis system, are constructed. As result, new wavelet decompositions are obtained, as well as direct solutions to interpolation problems in the spaces of polynomial and non-polynomial minimal splines. Theory is illustrated by examples of result application for m= 2.

AB - Minimal (non-polynomial) splines are constructed on a non-homogeneous meshes, the continuity condition for these splines and their derivatives in mesh points are formulated. The uniqueness conditions for linear spaces of smooth splines are given and their embedment is established for any sequence of refining meshes (at arbitrary refinement). Simple realizations of the system of functionals, biorthogonal to those corresponding to basis system, are constructed. As result, new wavelet decompositions are obtained, as well as direct solutions to interpolation problems in the spaces of polynomial and non-polynomial minimal splines. Theory is illustrated by examples of result application for m= 2.

UR - http://www.scopus.com/inward/record.url?scp=27744583811&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:27744583811

VL - 401

SP - 439

EP - 442

JO - ДОКЛАДЫ АКАДЕМИИ НАУК

JF - ДОКЛАДЫ АКАДЕМИИ НАУК

SN - 0869-5652

IS - 4

ER -

ID: 49712805