Restricted nonlinear approximation

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

We introduce a new form of nonlinear approximation called restricted approximation. It is a generalization of n-term wavelet approximation in which a weight function is used to control the terms in the wavelet expansion of the approximant. This form of approximation occurs in statistical estimation and in the characterization of interpolation spaces for certain pairs of Lp and Besov spaces. We characterize, both in terms of their wavelet coefficients and also in terms of their smoothness, the functions which are approximated with a specified rate by restricted approximation. We also show the relation of this form of approximation with certain types of thresholding of wavelet coefficients.
Original languageEnglish
JournalConstructive Approximation
Volume16
Issue number1
Pages (from-to)85-113
Number of pages29
ISSN0176-4276
DOIs
Publication statusPublished - 01.01.2000
Externally publishedYes

    Research areas

  • Mathematics - Besov spaces, Characterization of approximation classes, K -functional, Nonlinear approximation, Restricted approximation, AMS Classification. 41, 41A17, 41A25, 41A46.

DOI

Recently viewed

Publications

  1. Risk preferences under heterogeneous environmental risk
  2. Dynamics of Supply Chains Under Mixed Production Strategies
  3. Adaptive Lehrerinterventionen beim mathematischen Modellieren
  4. Feasibility of a worker-directed web-based intervention for employees with depressive symptoms
  5. A review of FEM code accuracy for reliable extrusion process analysis
  6. The IRENA Project Navigator
  7. Classifying railway stations for strategic transport and land use planning
  8. A general result on absolute continuity of non-uniform self-similar measures on the real line
  9. B7-H1 Selectively Controls TH17 Differentiation and Central Nervous System Autoimmunity via a Novel Non-PD-1-Mediated Pathway
  10. Similar factors underlie tree abundance in forests in native and alien ranges
  11. Propagation of particles injected from interplanetary shocks
  12. Bifurcation loads of circular curved beams of glued-laminated timber with continuous lateral support
  13. MICSIM-4J - A General Microsimulation Model
  14. Analysis of observability of a differential equation system describing a synchronous electromagnetic drive
  15. Associations between the financial and industry expertise of audit committee members and Key Audit Matters within related audit reports
  16. Microstructure and hardness evolution of laser metal deposited AA5087 wall-structures
  17. The multi-criteria effectiveness evaluation of the robotic group based on 3D real-time vision system
  18. The ESBW Short Scale A Test for Assessing Teachers’ Standards-Based Educational Knowledge
  19. Intra-specific leaf trait responses to species richness at two different local scales
  20. Traits of butterfly communities change from specialist to generalist characteristics with increasing land-use intensity
  21. Abnormal extrusion texture and reversed yield asymmetry in a Mg–Y-Sm-Zn-Zr alloy
  22. Microstructure and creep properties of MEZ magnesium alloy processed by thixocasting
  23. Efficient Classification of Images with Taxonomies
  24. Anisotropic wavelet bases and thresholding
  25. Recent developments in the manufacture of complex components by influencing the material flow during extrusion
  26. Sensitivity of trace-element analysis by X-ray emission induced by 0.1-10 MeV electrons
  27. An extended kalman filter for temperature monitoring of a metal-polymer hybrid fibre based heater structure
  28. Revisiting Carbon Disclosure and Performance
  29. Aluminium-rich coring structures in Mg-Al alloys with carbon inoculation
  30. An EEG frequency tagging study on biological motion perception in children with DCD
  31. The Cox ring of the space of complete rank two collineations
  32. Microstructure, mechanical and corrosion properties of Mg-Gd-Zn alloys
  33. Peer Evaluation Can Reliably Measure Local Knowledge
  34. Helping to improve suggestion systems
  35. Study on Mg–Si–Sr ternary alloys for biomedical applications
  36. Robust Current Decoupling in a Permanent Magnet Motor Combining a Geometric Method and SMC