Sobolev exponents of Butterworth refinable functions

Cited 3 time in webofscience Cited 0 time in scopus
  • Hit : 392
  • Download : 0
The precise Sobolev exponent s(infinity)(phi(n)) of the Butterworth refinable function phi(n) associated with the Butterworth filter of order n, b(n)(xi) := cos(2n)(xi/2)/cos(2n)(xi/2)+sin(2n)(xi/2), is shown to be s(infinity) (phi(n)) = n log(2) 3 + log(2) (1 + 3(-n)). This recovers the previously given asymptotic estimate of s(infinity) (phi(n)) of Fan and Sun, and gives more accurate regularity of Butterworth refinable function phi(n). (C) 2007 Elsevier Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2008-05
Language
English
Article Type
Article
Citation

APPLIED MATHEMATICS LETTERS, v.21, no.5, pp.510 - 515

ISSN
0893-9659
DOI
10.1016/j.aml.2007.05.016
URI
http://hdl.handle.net/10203/88301
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 3 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0