THE DECAY OF THE WALSH COEFFICIENTS OF SMOOTH FUNCTIONS-Reference-Cited by-同舟云学术

THE DECAY OF THE WALSH COEFFICIENTS OF SMOOTH FUNCTIONS

Published:2009-07-02 Issue:3 Volume:80 Page:430-453
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

DICK JOSEF

Abstract

AbstractWe give upper bounds on the Walsh coefficients of functions for which the derivative of order at least one has bounded variation of fractional order. Further, we also consider the Walsh coefficients of functions in periodic and nonperiodic reproducing kernel Hilbert spaces. A lower bound which shows that our results are best possible is also shown.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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