Skip to main content

An extension of Sard's method

  • Conference paper
  • First Online:
Spline Functions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 501))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. H. AHLBERG, E. N. NILSON, and J. L. WALSH, “The theory of splines and their applications”, Academic Press, New York, 1967.

    MATH  Google Scholar 

  2. C. DE BOOR and R. E. LYNCH, On splines and their minimum properties, J. Math. Mech., 15 (1966), 953–989.

    MathSciNet  MATH  Google Scholar 

  3. F. J. DELVOS, and W. SCHEMPP, Sard's method and the theory of spline systems, J. Approximation Theory 14 (1975), 230–243.

    Article  MathSciNet  MATH  Google Scholar 

  4. F. J. DELVOS and W. SCHEMPP, On optimal periodic spline interpolation, J. Math. Analysis Appl., to appear.

    Google Scholar 

  5. S. KARLIN, “Total positivity”, Stanford University Press, Stanford, California, 1968.

    MATH  Google Scholar 

  6. S. g. MIKHLIN, “The problem of the minimum of a quadratic functional”, Holden Day, San Francisco-London-Amsterdam, 1965.

    MATH  Google Scholar 

  7. F. RIESZ, and B. SZ. NAGY, “Vorlesungen über Funktionalanalysis”, Deutscher Verlag der Wissenschaften, Berlin, 1956.

    MATH  Google Scholar 

  8. A. SARD, Optimal approximation, J. Functional Analysis 1 (1967), 222–244; 2 (1968), 368–369.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. SARD, Approximation based on nonscalar observations, J. Approximation Theory 8 (1973), 315–334.

    Article  MathSciNet  MATH  Google Scholar 

  10. A. SARD, Instances of generalized splines, in “Spline-Funktionen” (eds.: K. Böhmer, G. Meinardus, W. Schempp), BI-Wissenschaftsverlag, Mannheim-Wien-Zürich, 1974.

    Google Scholar 

  11. R. SCHABACK, Konstruktion and algebraische Eigenschaften von m-Spline-Interpolierenden, Numer. Math. 21 (1973), 166–180.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. SCHABACK, Konstruktion von Spline-Interpolierenden und Peano-Kerne, in “Spline-Funktionen” (ed.: K. Böhmer, G. Meinardus, W. Schempp), BI-Wissenschaftsverlag, Mannheim-Wien-Zürich, 1974.

    Google Scholar 

  13. W. SCHEMPP und U. TIPPENHAUER, Reprokerne zu Spline-Grundräumen, Math. Z., 136 (1974), 357–369.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. H. SCHULTZ, “Spline Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.

    MATH  Google Scholar 

  15. W. I. SMIRNOW, “Lehrgang der höheren Mathematik V”, Deutscher Verlag der Wissenschaften, Berlin, 1967.

    MATH  Google Scholar 

  16. H. TRIEBEL, “Höhere Analysis”, Deutscher Verlag der Wissenschaften, Berlin, 1972.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Klaus Böhmer Günter Meinardus Walter Schempp

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Delvos, FJ., Schempp, W. (1976). An extension of Sard's method. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079741

Download citation

  • DOI: https://doi.org/10.1007/BFb0079741

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07543-1

  • Online ISBN: 978-3-540-38073-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics