Treffer: On monotone rational approximation
Title:
On monotone rational approximation
Authors:
Source:
Journal of Approximation Theory. 135:54-69
Publisher Information:
Elsevier BV, 2005.
Publication Year:
2005
Subject Terms:
Approximation by rational functions, Mathematics(all), Numerical Analysis, Rational approximation, monotone approximation, Applied Mathematics, shape-preserving approximation, Shape-preserving approximation, 0101 mathematics, rational approximation, 01 natural sciences, Analysis, Monotone approximation
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0021-9045
DOI:
10.1016/j.jat.2005.03.006
Access URL:
https://zbmath.org/2211423
https://doi.org/10.1016/j.jat.2005.03.006
https://dblp.uni-trier.de/db/journals/jat/jat135.html#Bondarenko05
https://dl.acm.org/doi/10.5555/1093458.1712459
https://dialnet.unirioja.es/servlet/articulo?codigo=1259484
https://www.sciencedirect.com/science/article/pii/S0021904505000560
https://www.sciencedirect.com/science/article/abs/pii/S0021904505000560#!
https://core.ac.uk/display/82231090
https://doi.org/10.1016/j.jat.2005.03.006
https://dblp.uni-trier.de/db/journals/jat/jat135.html#Bondarenko05
https://dl.acm.org/doi/10.5555/1093458.1712459
https://dialnet.unirioja.es/servlet/articulo?codigo=1259484
https://www.sciencedirect.com/science/article/pii/S0021904505000560
https://www.sciencedirect.com/science/article/abs/pii/S0021904505000560#!
https://core.ac.uk/display/82231090
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....29e9d7f8b297ab4adb5d6ba87870ba1d
Database:
OpenAIRE
Weitere Informationen
The author solves a problem raised by R. A. DeVore in his several lectures during the last 15 years. The author finds the exact order of monotone rational approximation for the Sobolev classes \(W_p^1\). He proves that if \(f\) is an absolutely continuous function on \([0, 1]\) satisfying \(f'\in L_p[0,1],\) \(1