Skip to main content

Duality principle in linearized rational approximation

  • 538 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1550)

Abstract

We prove a duality theorem for linearized rational approximation similar to the theorem for rational approximation proved by G. Gierz and the author earlier.

Keywords

  • Rational Approximation
  • Duality Theorem
  • Duality Principle
  • Finite Codimension
  • Number Dist

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   50.00
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. R.E. Edwards, Fourier Series, A Modern Introduction, vol. 2, Springer-Verlag, 1982.

    Google Scholar 

  2. G. Gierz and B. Shekhtman, On Duality in Rational Approximation, Rocky Mountain Journal 19 (1988), pp. 137–143.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G. Gierz and B. Shekhtman, Duality Principle for Rational Approximation, Pacific Journal of Math 125 (1986), pp. 79–90.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. G. Gierz and B. Shekhtman, On Approximation by Rationals from a Hyperplane, Proc. AMS 96 (1986), pp. 452–454.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. S. Kwapien and A. Pelczynski, Absolutely Summing Operators and Translation Invariant Subspaces on Compact Abelian Groups, Math. Nachr. 94 (1980), pp. 303–340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. D.J. Newman, Approximation with Rational Functions, CBMS, Regional Conf. Ser. no. 41 (1979), Providence R.I.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1993 The Euler International Mathematical Institute

About this paper

Cite this paper

Shekhtman, B. (1993). Duality principle in linearized rational approximation. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117485

Download citation

  • DOI: https://doi.org/10.1007/BFb0117485

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

  • eBook Packages: Springer Book Archive