Skip to main content

Approximation by extremals of nonlinear differential expressions in one variable and quadratic forms in several variables

Part IV. Convergence Theorems

  • 266 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 479)

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
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. J. P. Aubin, Approximation of Elliptic Boundary Value Problems, Wiley-Interscience, New York, 1972.

    MATH  Google Scholar 

  2. J. H. Bramble and S. R. Hilbert, “Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation,” SIAM J. Numer. Anal., 7 (1970), 112–124.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A. El Kolli, “Nieme epaisseur dans les espaces de Sobolev,” J. Approximation Theory, 10 (1974), 268–294.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. W. Jerome and L. L. Schumaker, “On the distance to a class of generalized splines,” ISNM 25, Birkhäuser Verlag, Basel, 1974, 503–517

    MATH  Google Scholar 

  5. G. G. Lorentz, Approximation of Functions, Holt, Rinehart and Winston, New York, 1966.

    MATH  Google Scholar 

  6. M. H. Schultz and R. S. Varga, “L-splines,” Numer. Math., 10 (1967), 345–369.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

Fisher, S.D., Jerome, J.W. (1975). Approximation by extremals of nonlinear differential expressions in one variable and quadratic forms in several variables. In: Minimum Norm Extremals in Function Spaces. Lecture Notes in Mathematics, vol 479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097070

Download citation

  • DOI: https://doi.org/10.1007/BFb0097070

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07394-9

  • Online ISBN: 978-3-540-37599-9

  • eBook Packages: Springer Book Archive