Skip to main content

Ein Problem der Bestapproximation in geordneten Vektorräumen

  • Conference paper
  • First Online:
Approximation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 556))

  • 482 Accesses

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.

Literatur

  1. Bonsall, F. F. The decomposition of continuous linear functionals into non-negative components. Proc. Durham Phil. Soc. 13(A) 6–11 (1957)

    MathSciNet  MATH  Google Scholar 

  2. Brosowski, B. Einige Bemerkungen zum verallgemeinerten Kolmogoroffschen Kriterium. Funktionalanalytische Methoden der numerischen Mathematik, ISNM 12, S. 25–34, Birkhäuser-Verlag (1969).

    Book  Google Scholar 

  3. Brosowski, B. Nichtlineare Approximation in normierten Vektorräumen. Abstract Spaces and Approximation, ISNM 10, S. 140–159, Birkhäuser-Verlag (1969).

    Book  Google Scholar 

  4. Deutsch, F. R. and Maserick, P. H. Applications of the Hahn-Banach Theorem in Approximation Theory. SIAM Rev. 9, 516–530 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  5. Harris, B. Mathematical Models for Statistical Decision Theory. Optimizing Methods in Statistics, 369–389, Ed. J. S. Rustagi, Academic Press, New York (1971).

    Chapter  Google Scholar 

  6. Harris, B. and Heindl, G. The Concept of a Best Approximation as an Optimality Criterion in Statistical Decision Theory. University of Wisconsin-Madison R.N. 1586 (1975).

    Google Scholar 

  7. Klee, V. L. Extremal structure of convex sets. Arch. d. Math. 8, 234–240 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  8. Krabs, W. Optimierung und Approximation. Teubner Studienbücher (1975).

    Google Scholar 

  9. Kung-Fu Ng. The duality of partially ordered Banach spaces. Proc. London Math. Soc. (3) 19, 269–288 (1969).

    MathSciNet  Google Scholar 

  10. Nikolski, W. N. Verallgemeinerung eines Satzes von A. N. Kolmogoroff auf Banach-Räume. Untersuchungen moderner Probleme der konstruktiven Funktionentheorie. V.I. Smirnov, Fizmatgiz, 335–337, Moskau (1961) (Russisch).

    Google Scholar 

  11. Nikolski, W. N. Ein charakteristisches Kriterium für die am wenigsten abweichenden Elemente aus konvexen Mengen. Untersuchungen moderner Probleme der konstruktiven Funktionentheorie. Verl. d. Akad. d. Wiss. Aserbeidschan, 80–84, Baku (1965) (Russisch).

    Google Scholar 

  12. Singer, I. Sur l' extension des fonctionelles linéaires. Rev. Rouamine Math. Pures Appl., 1, 1–8 (1956).

    Google Scholar 

  13. Singer, I. On the extension of continuous linear functionals and best approximation in normed linear spaces. Math. Ann., 159, 344–355 (1965).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Robert Schaback Karl Scherer

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Heindl, G. (1976). Ein Problem der Bestapproximation in geordneten Vektorräumen. In: Schaback, R., Scherer, K. (eds) Approximation Theory. Lecture Notes in Mathematics, vol 556. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087409

Download citation

  • DOI: https://doi.org/10.1007/BFb0087409

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08001-5

  • Online ISBN: 978-3-540-37552-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics