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Approximation in Lp(ℝd), 0<p<1, by linear combinations of characteristic functions of balls. / Александров, Алексей Борисович.

в: Journal of Mathematical Sciences , Том 165, № 4, 02.2010, стр. 431-434.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{87dcacd596f747288a410e12cc02b786,
title = "Approximation in Lp(ℝd), 0<p<1, by linear combinations of characteristic functions of balls",
abstract = "We prove that translates of the characteristic function of a ball span the space Lp (ℝd) provided that 0 < p < 1 and d ≥ 2. Similar approximation problems are considered for some other functions. Bibliography: 5 titles.",
author = "Александров, {Алексей Борисович}",
year = "2010",
month = feb,
doi = "10.1007/s10958-010-9810-7",
language = "English",
volume = "165",
pages = "431--434",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Approximation in Lp(ℝd), 0<p<1, by linear combinations of characteristic functions of balls

AU - Александров, Алексей Борисович

PY - 2010/2

Y1 - 2010/2

N2 - We prove that translates of the characteristic function of a ball span the space Lp (ℝd) provided that 0 < p < 1 and d ≥ 2. Similar approximation problems are considered for some other functions. Bibliography: 5 titles.

AB - We prove that translates of the characteristic function of a ball span the space Lp (ℝd) provided that 0 < p < 1 and d ≥ 2. Similar approximation problems are considered for some other functions. Bibliography: 5 titles.

UR - http://www.scopus.com/inward/record.url?scp=77949287973&partnerID=8YFLogxK

U2 - 10.1007/s10958-010-9810-7

DO - 10.1007/s10958-010-9810-7

M3 - Article

AN - SCOPUS:77949287973

VL - 165

SP - 431

EP - 434

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 87311462