CHARACTERIZATION OF POINTWISE HOLDER REGULARITY

Authors
ANDERSSON P
Citation
P. Andersson, CHARACTERIZATION OF POINTWISE HOLDER REGULARITY, Applied and computational harmonic analysis, 4(4), 1997, pp. 429-443
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied and computational harmonic analysis → ACNP
ISSN journal
10635203
Volume
4
Issue
4
Year of publication
1997
Pages
429 - 443
Database
ISI
SICI code
1063-5203(1997)4:4<429:COPHR>2.0.ZU;2-0
Abstract
We study different characterizations of the pointwise Holder spaces C- s(x(0)), including rate of approximation by smooth functions and itera ted differences. As an application of our results we study the class o f functions that are Holder exponents and prove that the Holder expone nt of a continuous function is the limit inferior of a sequence of con tinuous functions, thereby improving a theorem of S. Jaffard. (C) 1997 Academic Press.