dc.contributor.author |
Dai, F. |
dc.contributor.author |
Prymak, A. |
dc.contributor.author |
Temlyakov, V.N. |
dc.contributor.author |
Tikhonov, S.Yu. |
dc.date.accessioned |
2021-03-18T23:46:39Z |
dc.date.available |
2021-03-18T23:46:39Z |
dc.date.created |
2019-01-01 |
dc.date.issued |
2019-01-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/445769 |
dc.format.extent |
69 p. |
dc.language.iso |
eng |
dc.publisher |
Institute of Physics Publishing |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
51 |
dc.title |
Integral norm discretization and related problems |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/publishedVersion |
dc.embargo.terms |
12 mesos |
dc.identifier.doi |
10.1070/RM9892 |
dc.rights.accessLevel |
info:eu-repo/semantics/openAccess |
dc.description.abstract |
The problem is discussed of replacing an integral norm with respect to a given probability measure by the corresponding integral norm with respect to a discrete measure. This problem is investigated for elements of finite-dimensional spaces. Also, discretization of the uniform norm of functions in a given finite-dimensional subspace of continuous functions is studied. Special attention is given to the case of multivariate trigonometric polynomials with frequencies (harmonics) in a finite set with fixed cardinality. Both new results and a survey of known results are presented. Bibliography: 47 titles. © 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd. |