Skip to main content
SpringerLink
Log in

On approximation by Riesz means concerning orthogonal series

Об аппроксимации сре дними Рисса ортогона льных рядов

  • Published:
Analysis Mathematica Aims and scope Submit manuscript

Abstract

Дается существенное улучшение трех теоре м, доказанных автором т ридцать лет назад, о приближен ии средними Рисса орт огональных рядов. Предлагаемое обобщение базируетс я на понятии квазигео метрически монотонной последов ательности.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. G. Alexits,Konvergenzprobleme der Orthogonalreihen, Akadémiai Kiadó (Budapest, 1960).

    Google Scholar 

  2. G. Alexits undD. Králik, Über Approximationen mit den aritmethischen Mitteln allgemeiner Orthogalreihen,Acta Math. Acad. Sci. Hungar.,11(1960), 387–399.

    Google Scholar 

  3. V. A. Andrienko, On the rate of Cesàro summability of orthogonal series,Analysis Math.,15(1989), 263–281.

    Google Scholar 

  4. L. Leindler, Über die Rieszschen Mittel allgemeiner Orthogonalreihen,Acta Sci. Math. (Szeged),24(1963), 129–138.

    Google Scholar 

  5. L. Leindler, On the converses of inequalities of Hardy and Littlewood,Acta Sci. Math. (Szeged),58(1993), 187–192.

    Google Scholar 

  6. L.Leindler, General results on strong approximation by Cesàro means of negative order,Acta Math. Acad. Sci. Hungar., (to appear).

  7. L.Leindler and J.Németh, On the connection of quasi power-monotone and quasi geometrical sequences with application to integrability theorems for power series,Acta Math. Acad. Sci. Hungar., (to appear).

  8. J. Meder, On the estimation of Cesàro means of orthonormal series,Annales Polon. Math.,4(1957–58), 183–200.

    Google Scholar 

  9. K. Tandori, Über die orthogonalen Funktionen. VII (Approximationssätze),Acta Sci. Math. (Szeged),20(1959), 19–24.

    Google Scholar 

  10. A. Zygmund, Sur la sommation des séries de fonctions orthogonales,Bulletin Intern. Acad. Polon. Sci. Lettres (Cracovie), série A, (1927), 293–308.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi Vértanúk Tere 1, 6720, Szeged, Hungary

    L. Leindler

Authors
  1. L. Leindler
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Academician S. M. Nikol'skii on his 90th birthday

This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant # 234.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leindler, L. On approximation by Riesz means concerning orthogonal series. Analysis Mathematica 21, 23–33 (1995). https://doi.org/10.1007/BF01904023

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01904023

Keywords

Search

Navigation