Skip to main content

Duality principle in linearized rational approximation

  • Conference paper
  • First Online:
Methods of Approximation Theory in Complex Analysis and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((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.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 50.00
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. 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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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

Andrei A. Gonchar Edward B. Saff

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

Publish with us

Policies and ethics