Approximation on anisotropic Besov classes with mixed norms by standard information

Gensun Fang; Fred J. Hickernell; Huan Li

doi:10.1016/j.jco.2005.01.001

Approximation on anisotropic Besov classes with mixed norms by standard information

Gensun Fang, Fred J. Hickernell^*, Huan Li

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

17 Citations (Scopus)

Abstract

This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well.

Original language	English
Pages (from-to)	294-313
Number of pages	20
Journal	Journal of Complexity
Volume	21
Issue number	3
DOIs	https://doi.org/10.1016/j.jco.2005.01.001
Publication status	Published - Jun 2005
Externally published	Yes

Scopus Subject Areas

Algebra and Number Theory
Statistics and Probability
Numerical Analysis
General Mathematics
Control and Optimization
Applied Mathematics

User-Defined Keywords

Exact order
Information-based complexity
Interpolation
Optimal recovery

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10.1016/j.jco.2005.01.001

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title = "Approximation on anisotropic Besov classes with mixed norms by standard information",

abstract = "This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well.",

keywords = "Exact order, Information-based complexity, Interpolation, Optimal recovery",

author = "Gensun Fang and Hickernell, {Fred J.} and Huan Li",

note = "Funding Information: This work was partially supported by the Peking University—Hong Kong Baptist University Joint Research Institute for Applied Mathematics, by Hong Kong Research Grants Council Grant RGC/HKBU/2020/02P, by Hong Kong Baptist University Grant FRG/00-01/II-62, and by the National Natural Science Foundation of China Grant no. 10371009. ",

year = "2005",

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doi = "10.1016/j.jco.2005.01.001",

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volume = "21",

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journal = "Journal of Complexity",

issn = "0885-064X",

publisher = "Academic Press Inc.",

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T1 - Approximation on anisotropic Besov classes with mixed norms by standard information

AU - Fang, Gensun

AU - Hickernell, Fred J.

AU - Li, Huan

N1 - Funding Information: This work was partially supported by the Peking University—Hong Kong Baptist University Joint Research Institute for Applied Mathematics, by Hong Kong Research Grants Council Grant RGC/HKBU/2020/02P, by Hong Kong Baptist University Grant FRG/00-01/II-62, and by the National Natural Science Foundation of China Grant no. 10371009.

PY - 2005/6

Y1 - 2005/6

N2 - This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well.

AB - This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well.

KW - Exact order

KW - Information-based complexity

KW - Interpolation

KW - Optimal recovery

UR - http://www.scopus.com/inward/record.url?scp=18144381929&partnerID=8YFLogxK

U2 - 10.1016/j.jco.2005.01.001

DO - 10.1016/j.jco.2005.01.001

M3 - Journal article

AN - SCOPUS:18144381929

SN - 0885-064X

VL - 21

SP - 294

EP - 313

JO - Journal of Complexity

JF - Journal of Complexity

IS - 3

ER -

Approximation on anisotropic Besov classes with mixed norms by standard information

Abstract

Scopus Subject Areas

User-Defined Keywords

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