Probabilistic and average linear widths in L∞-norm with respect to r-fold Wiener measure

V. E. Maiorov; G. W. Wasilkowski

doi:10.1006/jath.1996.0003

Probabilistic and average linear widths in L_∞-norm with respect to r-fold Wiener measure

V. E. Maiorov, G. W. Wasilkowski

Computer Science

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

29 Scopus citations

Abstract

We show that for r-fold Wiener measure, the probabilistic and average linear widths in the L_∞-norm are proportional to n^-(r+1/2) √ln n/δ and n^-(r+1/2) √ln n, respectively.

Original language	English
Pages (from-to)	31-40
Number of pages	10
Journal	Journal of Approximation Theory
Volume	84
Issue number	1
DOIs	https://doi.org/10.1006/jath.1996.0003
State	Published - Jan 1996

Bibliographical note

Funding Information:
* Partially supported by the National Science Foundation under Grant CCR-91-14042.

Funding

* Partially supported by the National Science Foundation under Grant CCR-91-14042.

Funders	Funder number
National Science Foundation (NSF)	CCR-91-14042

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

Access to Document

10.1006/jath.1996.0003

Cite this

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title = "Probabilistic and average linear widths in L∞-norm with respect to r-fold Wiener measure",

abstract = "We show that for r-fold Wiener measure, the probabilistic and average linear widths in the L∞-norm are proportional to n-(r+1/2) √ln n/δ and n-(r+1/2) √ln n, respectively.",

author = "Maiorov, {V. E.} and Wasilkowski, {G. W.}",

note = "Funding Information: * Partially supported by the National Science Foundation under Grant CCR-91-14042.",

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AB - We show that for r-fold Wiener measure, the probabilistic and average linear widths in the L∞-norm are proportional to n-(r+1/2) √ln n/δ and n-(r+1/2) √ln n, respectively.

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