Standard

Error estimate of the projection methods in the problem of best approximation. / Dem'yanovich, Yu K.

In: Journal of Soviet Mathematics, Vol. 22, No. 2, 01.05.1983, p. 1171-1178.

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

Harvard

Dem'yanovich, YK 1983, 'Error estimate of the projection methods in the problem of best approximation', Journal of Soviet Mathematics, vol. 22, no. 2, pp. 1171-1178. https://doi.org/10.1007/BF01460268

APA

Dem'yanovich, Y. K. (1983). Error estimate of the projection methods in the problem of best approximation. Journal of Soviet Mathematics, 22(2), 1171-1178. https://doi.org/10.1007/BF01460268

Vancouver

Dem'yanovich YK. Error estimate of the projection methods in the problem of best approximation. Journal of Soviet Mathematics. 1983 May 1;22(2):1171-1178. https://doi.org/10.1007/BF01460268

Author

Dem'yanovich, Yu K. / Error estimate of the projection methods in the problem of best approximation. In: Journal of Soviet Mathematics. 1983 ; Vol. 22, No. 2. pp. 1171-1178.

BibTeX

@article{1d0ebf9e49f0433e89af7d93201689d4,
title = "Error estimate of the projection methods in the problem of best approximation",
abstract = "One investigates the error of the projection methods in solving the problem regarding the shortest distance from a point to a closed convex set M in a Hilbert space H. One introduces the concept of equipotential convexity of a set M and one gives an estimate of the error of the mentioned methods in terms of the best approximation by elements of the intersection X ∩ M, where X is the projection plane in H. One gives an example which shows that, in general, without the condition of equipotential convexity such an estimate cannot be obtained.",
author = "Dem'yanovich, {Yu K.}",
year = "1983",
month = may,
day = "1",
doi = "10.1007/BF01460268",
language = "English",
volume = "22",
pages = "1171--1178",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Error estimate of the projection methods in the problem of best approximation

AU - Dem'yanovich, Yu K.

PY - 1983/5/1

Y1 - 1983/5/1

N2 - One investigates the error of the projection methods in solving the problem regarding the shortest distance from a point to a closed convex set M in a Hilbert space H. One introduces the concept of equipotential convexity of a set M and one gives an estimate of the error of the mentioned methods in terms of the best approximation by elements of the intersection X ∩ M, where X is the projection plane in H. One gives an example which shows that, in general, without the condition of equipotential convexity such an estimate cannot be obtained.

AB - One investigates the error of the projection methods in solving the problem regarding the shortest distance from a point to a closed convex set M in a Hilbert space H. One introduces the concept of equipotential convexity of a set M and one gives an estimate of the error of the mentioned methods in terms of the best approximation by elements of the intersection X ∩ M, where X is the projection plane in H. One gives an example which shows that, in general, without the condition of equipotential convexity such an estimate cannot be obtained.

UR - http://www.scopus.com/inward/record.url?scp=34250154920&partnerID=8YFLogxK

U2 - 10.1007/BF01460268

DO - 10.1007/BF01460268

M3 - Article

AN - SCOPUS:34250154920

VL - 22

SP - 1171

EP - 1178

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 53485503