Hyperbolic Wavelet Approximation Academic Article

abstract

• We study the multivariate approximation by certain partial sums (hyperbolic wavelet sums) of wavelet bases formed by tensor products of univariate wavelets. We characterize spaces of functions which have a prescribed approximation error by hyperbolic wavelet sums in terms of a K-functional and interpolation spaces. The results parallel those for hyperbolic trigonometric cross approximation of periodic functions [DPT].

authors

• Devore, Ronald

published proceedings

• Constructive Approximation

author list (cited authors)

• DeVore, R. A., Konyagin, S. V., & Temlyakov, V. N.

citation count

• 86

complete list of authors

• DeVore, RA||Konyagin, SV||Temlyakov, VN

publication date

• January 1998

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s003659900060

start page

• 1

end page

• 26

volume

• 14

issue

• 1

URL

• http://dx.doi.org/10.1007/s003659900060