Restricted nonlinear approximation and singular solutions of boundary integral equations

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

This paper studies several problems, which are potentially relevant for the construction of adaptive numerical schemes. First, biorthogonal spline wavelets on [0,1] are chosen as a starting point for characterizations of functions in Besov spaces B 6r,r (0.1) with 0<σ<∞ and (1+σ)−1<r<∞. Such function spaces are known to be related to nonlinear approximation. Then so called restricted nonlinear approximation procedures with respect to Sobolev space norms are considered. Besides characterization results Jackson type estimates for various tree-type and tresholding algorithms are investigated. Finally known approximation results for geometry induced singularity functions of boundary integeral equations are combined with the characterization results for restricted nonlinear approximation to show Besov space regularity results.
Original languageEnglish
JournalApproximation Theory and Its Applications
Volume18
Issue number1
Pages (from-to)1-25
Number of pages25
ISSN1000-9221
DOIs
Publication statusPublished - 2002

DOI

Recently viewed

Publications

  1. Methods for Ensuring the Accuracy of Radiometric and Optoelectronic Navigation Systems of Flying Robots in a Developed Infrastructure
  2. Some results on output algebraic feedback with applications to mechanical systems
  3. Schreibberatung
  4. Microstructures and mechanical properties of pure Mg processed by rotary swaging
  5. Development and testing of the insulin treatment experience questionnaire (ITEQ)
  6. Molecular analysis meets morphology-based systematics-a synthetic approach for Chalarinae (Insecta: Diptera: Pipunculidae)
  7. Project ARBRE
  8. Slowing resource loops in the clothing industry through Circular Business Model Experimentation
  9. Gewalt oder Macht
  10. New methods for the analysis of links between international firm activities and firm performance
  11. Massenträgheit
  12. Was Grundschulkinder über das Textschreiben wissen
  13. »Chop that record up!«
  14. Deskriptive Statistik in der qualitativen Sozialforschung
  15. The online inverted classroom model (oICM). A blueprint to adapt the inverted classroom to an online learning setting in medical and health education
  16. 'Foreshadows and Repercussions'
  17. Students’ Beliefs About Trigger Warnings
  18. Green infrastructure connectivity analysis across spatiotemporal scales
  19. Proactive motivation and engagement in career behaviors
  20. Experimental and numerical investigation of laser beam-welded Al-Cu-Li joints using micro-mechanical characteristics
  21. Leading academic change
  22. Integrative Management of Sustainability Performance, Measurement and Reporting
  23. The measurement of gripstrength in automobiles
  24. With a little help from my website
  25. Relationen im Raum
  26. Significance of Antibiotics in the Environment
  27. Urbanization, Migration, and Adaptation to Climate Change
  28. der schreiber schreibt
  29. Schätzkompetenz von Schülerinnen und Schülern in der Sekundarstufe I
  30. Notting Hill Gate 3
  31. Thermo-oxidative aging of linear and branched alcohols as stability criterion for their use as e-fuels
  32. Managers’ incentives and disincentives to engage with integrated reporting or why managers might not adopt integrated reporting
  33. BRANGE EFFECTS IN HEDONIC EVALUATION OF OLFACTORY STIMULI
  34. Stress of dialysis nurses—analyzing the buffering role of influence at work and feedback
  35. Sources of nitrogen heterocyclic PAHs (N-HETs) along a riverine course
  36. Die Methode der quantitativen Bildtypenanalyse
  37. Shifting Immediations
  38. Krisis und Invention
  39. SYMPOSIUM .7. CHANGES IN PUBLIC AND PRIVATE SCHOOLING - INCOMPLETE MODERNIZATION AND CRITIQUE OF MODERNITY - FOREWORD