Skip to main content
SpringerLink
Log in

A Pointwise “o” Saturation Theorem for Positive Convolution Operators

  • Chapter
Linear Operators and Approximation / Lineare Operatoren und Approximation

  • 255 Accesses

Abstract

We wish to consider the saturation of positive convolution operators in the space C* [ — π,π] of 2π-periodic and continuous functions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
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 54.99
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. V. A. Andrienko, Approximation of functions by Fejér means. Siberian Math. J. 9 (1968), 1–8.

    Article  Google Scholar 

  2. B. Bajsanski and R. Bojanic, A note on approximation by Bernstein polynomials. Bull. Amer. Math. Soc. 70 (1964), 675–677.

    Article  Google Scholar 

  3. H. Berens, On the saturation theorem for the Cesàro means of the Fourier series, (to appear).

    Google Scholar 

  4. H. Berens, On pointwise approximation of Fourier series by typical means. Tôhoku Math. J. 23 (1971), 147–154.

    Article  Google Scholar 

  5. H. Berens, Pointwise saturation of positive operators, (to appear).

    Google Scholar 

  6. R. DeVore, On the direct theorem of saturation. Tôhoku Math. J. 23. (1971), 363–370.

    Article  Google Scholar 

  7. E. Görlich and E. Stark, Über beste Konstanten und asymptotische Entwicklungen positiver Faltungsintegrale und deren Zusammenhang mit dem Saturationsproblem. Jber. Deutsch. Math.-Verein. 72 (1970), 18–61.

    Google Scholar 

  8. G. Sunouchi and C. Watari, On determination of the class of saturation in the theory of approximation of functions. Proc. Japan Acad. 34 (1958), 477–481.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math, Oakland University Rochester, Michigan, USA

    Ronald A. Devore

Authors
  1. Ronald A. Devore
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Aachen, Germany

    P. L. Butzer

  2. Paris, France

    J.-P. Kahane

  3. Szeged, Hungary

    B. Szökefalvi-Nagy

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Devore, R.A. (1972). A Pointwise “o” Saturation Theorem for Positive Convolution Operators. In: Butzer, P.L., Kahane, JP., Szökefalvi-Nagy, B. (eds) Linear Operators and Approximation / Lineare Operatoren und Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7283-6_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-7283-6_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7285-0

  • Online ISBN: 978-3-0348-7283-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation