Approximation by weighted means of Walsh-Fourier series

F. Móricz and B. E. Rhoades

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-8

Abstract:

We study the rate of approximation to functions in L p and, in particular, in Lip ( α , p ) by weighted means of their Walsh-Fourier series, where α > 0 and 1 ≤ p ≤ ∞ . For the case p = ∞ , L p is interpreted to be C W , the collection of uniformly W continuous functions over the unit interval [ 0 , 1 ) . We also note that the weighted mean kernel is quasi-positive, under fairly general conditions.

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/19/829182.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/19/829182.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:829182

DOI: 10.1155/S0161171296000014

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().