On multivariate adaptive approximation

Y. K. Hu, K. A. Kopotun, X. M. Yu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Recently, A. Cohen, R. A. DeVore, P. Petrushev, and H. Xu investigated nonlinear approximation in the space BV (R2). They modified the classical adaptive algorithm to solve related extremal problems. In this paper, we further study the modified adaptive approximation and obtain results on some extremal problems related to the spaces Vrσ,p(Rd) of functions of "Bounded Variation" and Besov spaces Bα(Rd).

Original languageEnglish
Pages (from-to)449-474
Number of pages26
JournalConstructive Approximation
Volume16
Issue number3
DOIs
StatePublished - 2000

Keywords

  • Adaptive algorithms
  • Approximation spaces
  • Besov spaces
  • Degree of approximation
  • K-functionals
  • Modulus of smoothness
  • Nonlinear approximation
  • Piecewise polynomials
  • Splines

Fingerprint

Dive into the research topics of 'On multivariate adaptive approximation'. Together they form a unique fingerprint.

Cite this