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Construction of homogeneous spaces of local functions and inverse approximation theorems. / Dem'yanovich, Yu K.

In: Journal of Soviet Mathematics, Vol. 20, No. 2, 01.09.1982, p. 1897-1912.

Research output: Contribution to journal › Article › peer-review

Harvard

Dem'yanovich, YK 1982, 'Construction of homogeneous spaces of local functions and inverse approximation theorems', Journal of Soviet Mathematics, vol. 20, no. 2, pp. 1897-1912. https://doi.org/10.1007/BF01680561

APA

Dem'yanovich, Y. K. (1982). Construction of homogeneous spaces of local functions and inverse approximation theorems. Journal of Soviet Mathematics, 20(2), 1897-1912. https://doi.org/10.1007/BF01680561

Vancouver

Dem'yanovich YK. Construction of homogeneous spaces of local functions and inverse approximation theorems. Journal of Soviet Mathematics. 1982 Sep 1;20(2):1897-1912. https://doi.org/10.1007/BF01680561

Author

Dem'yanovich, Yu K. / Construction of homogeneous spaces of local functions and inverse approximation theorems. In: Journal of Soviet Mathematics. 1982 ; Vol. 20, No. 2. pp. 1897-1912.

BibTeX

@article{a22c520bd3d440f1b50cbbef1353c12d,
title = "Construction of homogeneous spaces of local functions and inverse approximation theorems",
abstract = "The paper's first part is devoted to the construction of systems, finitary in Rn, of functions[Figure not available: see fulltext.] for approximations of the form The concepts of ℓ-approximating and[Figure not available: see fulltext.]-interpolating systems of functions[Figure not available: see fulltext.] are introduced, methods of constructing them are examined, and the labor consumption of the matrices of a variational-difference method is discussed when different systems of functions[Figure not available: see fulltext.] are used. The paper's second part contains inverse approximation theorems for metric spaces and their application in the case of approximations by spaces of local functions in Sobolev norms.",
author = "Dem'yanovich, {Yu K.}",
year = "1982",
month = sep,
day = "1",
doi = "10.1007/BF01680561",
language = "English",
volume = "20",
pages = "1897--1912",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Construction of homogeneous spaces of local functions and inverse approximation theorems

AU - Dem'yanovich, Yu K.

PY - 1982/9/1

Y1 - 1982/9/1

N2 - The paper's first part is devoted to the construction of systems, finitary in Rn, of functions[Figure not available: see fulltext.] for approximations of the form The concepts of ℓ-approximating and[Figure not available: see fulltext.]-interpolating systems of functions[Figure not available: see fulltext.] are introduced, methods of constructing them are examined, and the labor consumption of the matrices of a variational-difference method is discussed when different systems of functions[Figure not available: see fulltext.] are used. The paper's second part contains inverse approximation theorems for metric spaces and their application in the case of approximations by spaces of local functions in Sobolev norms.

AB - The paper's first part is devoted to the construction of systems, finitary in Rn, of functions[Figure not available: see fulltext.] for approximations of the form The concepts of ℓ-approximating and[Figure not available: see fulltext.]-interpolating systems of functions[Figure not available: see fulltext.] are introduced, methods of constructing them are examined, and the labor consumption of the matrices of a variational-difference method is discussed when different systems of functions[Figure not available: see fulltext.] are used. The paper's second part contains inverse approximation theorems for metric spaces and their application in the case of approximations by spaces of local functions in Sobolev norms.

UR - http://www.scopus.com/inward/record.url?scp=34250228223&partnerID=8YFLogxK

U2 - 10.1007/BF01680561

DO - 10.1007/BF01680561

M3 - Article

AN - SCOPUS:34250228223

VL - 20

SP - 1897

EP - 1912

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 38402072