Approximation in Lp(ℝd), 0<p<1, by linear combinations of characteristic functions of balls. / Александров, Алексей Борисович.
In: Journal of Mathematical Sciences , Vol. 165, No. 4, 02.2010, p. 431-434.Research output: Contribution to journal › Article › peer-review
}
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