The Average Widths of SobolevWiener Classes and BesovWiener Classes

Authors
Xu, Gui Qiao Liu, Yong Ping
Citation
Xu, Gui Qiao et Liu, Yong Ping, The Average Widths of SobolevWiener Classes and BesovWiener Classes, Acta mathematica Sinica. English series (Print) , 20(1), 2004, pp. 81-92
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
1
Year of publication
2004
Pages
81 - 92
Database
ACNP
SICI code
Abstract
This paper concerns the problem of average -width of SobolevWiener classes Wrpq(Rd),Wrpq(M,Rd), and Besov-Wiener classes Srpqb(Rd),SrpqB(Rd),Srpqb(M,Rd),SrpqB(Rd) in the metric L q (R d) for 1 q p . The weak asymptotic results concerning the average linear widths, the average Bernstein widths and the infinite-dimensional Gelfand widths are obtained, respectively.