Skip to main content

The degree of approximation in Müntz's theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 419)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Buck, R. C.: Linear spaces and approximation theory.-In: On numerical approximation (Edited by R. E. Langer), pp.11–23. Mathematics Research Center, United States Army, The University of Wisconsin, Publication 1. The University of Wisconsin Press, Madison (Wisconsin), 1959.

    Google Scholar 

  2. von Golitschek, M.: Generalization of the Jackson approximation theorems in the sense of Ch. Müntz.-Bull. Amer. Math. Soc. 75, 1969, pp.524–528.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Erweiterung der Approximationssätze von Jackson im Sinne von Ch. Müntz II.-J. Approximation Theory 3, 1970, pp.72–86.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. -"-Jackson-Sätze für Polynome \(\sum\limits_{i = 0}^s {a_i x^{P_i } }\).-In: Abstract spaces and approximation / Abstrakte Räume und Approximation (Edited by P. L. Butzer and B. Szökefalvi-Nagy), pp.309–320. International Series of Numerical Mathematics 10. Birkhäuser Verlag, Basel/Stuttgart, 1969.

    CrossRef  Google Scholar 

  5. Newman, D. J.: A Müntz-Jackson theorem.-Amer. J. Math. 87, 1965, pp.940–944.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Rogosinski, W. W., and H. S. Shapiro: On certain extremum problems for analytic functions.-Acta Math. 90, 1953, pp.287–318.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Sallay, M.: Über "lückenhafte" Orthogonalpolynosysteme.-Studia Sci. Math. Hungar. 4, 1969, pp.371–377.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Ganelius, T., Westlund, S. (1974). The degree of approximation in Müntz's theorem. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064719

Download citation

  • DOI: https://doi.org/10.1007/BFb0064719

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

  • eBook Packages: Springer Book Archive