Randomized Kolmogorov and Linear Widths on Generalized Besov Classes with Mixed Smoothness

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:Elsevier BVJournal:Procedia Engineering, volume 29, pages 4,170-4,174 (issn: 1877-7058,

Copyright policy )

Authors: Duan, Liqin; Ye, Peixin;

doi: 10.1016/j.proeng.2012.01.638

Randomized Kolmogorov and Linear Widths on Generalized Besov Classes with Mixed Smoothness

- Summary
- Subjects
- Metrics

Abstract

AbstractIn this paper, we study the Kolmogorov and the linear widths on the generalized Besov sov classes , BpθΩ with mixed smoothness in the Monte Carlo setting. Applying the discretization technique and some properties of pseudo-s-scale, we determine the exact asymptotic orders of the Kolmogorov and the linear widths for some values of the parameters p,q,θ.

Related Organizations

Nankai University
China (People's Republic of)
Hangzhou Dianzi University
China (People's Republic of)

Keywords

Monte Carlo method, Kolmogorov width, linear width, generalized Besov class, Engineering(all)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

gold

Fields of Science

Fields of Science