Standard

Local approximations on manifolds and weighted estimates. / Dem'yanovich, Yu K.

In: Journal of Soviet Mathematics, Vol. 36, No. 2, 01.01.1987, p. 261-269.

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

Harvard

Dem'yanovich, YK 1987, 'Local approximations on manifolds and weighted estimates', Journal of Soviet Mathematics, vol. 36, no. 2, pp. 261-269. https://doi.org/10.1007/BF01091806

APA

Dem'yanovich, Y. K. (1987). Local approximations on manifolds and weighted estimates. Journal of Soviet Mathematics, 36(2), 261-269. https://doi.org/10.1007/BF01091806

Vancouver

Dem'yanovich YK. Local approximations on manifolds and weighted estimates. Journal of Soviet Mathematics. 1987 Jan 1;36(2):261-269. https://doi.org/10.1007/BF01091806

Author

Dem'yanovich, Yu K. / Local approximations on manifolds and weighted estimates. In: Journal of Soviet Mathematics. 1987 ; Vol. 36, No. 2. pp. 261-269.

BibTeX

@article{1ad2bb5f1e4e4bae8bc12b7257a1e4f8,
title = "Local approximations on manifolds and weighted estimates",
abstract = "An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.",
author = "Dem'yanovich, {Yu K.}",
year = "1987",
month = jan,
day = "1",
doi = "10.1007/BF01091806",
language = "English",
volume = "36",
pages = "261--269",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Local approximations on manifolds and weighted estimates

AU - Dem'yanovich, Yu K.

PY - 1987/1/1

Y1 - 1987/1/1

N2 - An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.

AB - An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.

UR - http://www.scopus.com/inward/record.url?scp=34250101887&partnerID=8YFLogxK

U2 - 10.1007/BF01091806

DO - 10.1007/BF01091806

M3 - Article

AN - SCOPUS:34250101887

VL - 36

SP - 261

EP - 269

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 53485086