PuSH - Publication Server of Helmholtz Zentrum München: Marcinkiewicz-Zygmund inequalities and polynomial approximation from scattered data on SO(3).

Information

Clues to quality of journals

Open Access Policy of Helmholtz Association 2016

CC Licencences

Publication Metrics

Navigation

Home

Deutsch

EVA: Electronic Publishing

New EVA Application

Research

Advanced Search

Browse by ...

... HMGU-Authors/Consortia

... Organizational Structure

... Journal

... Publication Type

... Research Data

... Arbeitsgruppen

... Publication Year

Publication overview

Statistics

Statistics (last 5 years)

OA Publications

Publish

Submit Publication

Import publication from...

...EVA

Report missing publication

Highlights

Support & Contact

Contact persons

Help

Data protection

Helmholtz Open Science

JANE Journal Estimator

SHERPA/RoMEO

DOAJ

Export:

Text

Endnote (RIS) BIB

BibTeX

Schmid, D.

Marcinkiewicz-Zygmund inequalities and polynomial approximation from scattered data on SO(3).

Numer. Funct. Anal. Optim. 29, 855-882 (2008)

DOI

Open Access Green as soon as Postprint is submitted to ZB.

Abstract
Metrics
Extra information

We consider scattered data approximation problems on SO(3). To this end, we construct a new operator for polynomial approximation on the rotation group. This operator reproduces Wigner-D functions up to a given degree and has uniformly bounded Lp-operator norm for all 1 ? p ? ?. The operator provides a polynomial approximation with the same approximation degree of the best polynomial approximation. Moreover, the operator together with a Markov type inequality for Wigner-D functions enables us to derive scattered data Lp-Marcinkiewicz-Zygmund inequalities for these functions for all 1 ? p ? ?. As a major application of such inequalities, we consider the stability of the weighted least squares approximation problem on SO(3).

Impact Factor

Scopus SNIP

Web of Science
Times Cited

Scopus
Cited By

Altmetric

0.465

1.150