Skip to main content
SpringerLink
Log in

On the strong approximation by matrix means in the generalized Hölder metric

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

We extend the Leindler’s type estimate to the strong approximation in the Hölder norm. Under weaker assumptions we improve the results of Xie Tingfan and Sun Xiehua.

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

Similar content being viewed by others

References

  1. Chandra P.,On the degree of approximation of a class of functions by means of Fourier series, Acta Math. Hungar.,52 (1988), 199–205.

    Article  MATH  MathSciNet  Google Scholar 

  2. Chandra P.,A note on the degree of approximation of continuous function, Acta Math. Hungar.,62 (1993), 21–23.

    Article  MATH  MathSciNet  Google Scholar 

  3. Leindler L.,On the degree of approximation of continuous functions, Acta Math. Hungar.,104 (2004), 105–113.

    Article  MATH  MathSciNet  Google Scholar 

  4. Mohapatra R. N., Chandra P.,Degree of approximation of functions in the Hölder metric, Acta Math. Hungar.,41 (1983), 67–76.

    Article  MATH  MathSciNet  Google Scholar 

  5. Singh T.,Degree of approximation to functions in a normed spaces, Publ. Math. Debrecen,40 (1992), 261–271.

    MATH  MathSciNet  Google Scholar 

  6. Sun Xie-Hua,Degree of approximation of functions in the generalized Hölder metric, Indian J. Pure Appl. Math.,27 (1996), 407–417.

    MATH  MathSciNet  Google Scholar 

  7. Tingfan Xie, Xiehua Sun,On a problem of approximation by linear means, J. of Math. Res. Exposition,5 (1985), 93–96.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516, Zielona Góra, Poland

    Bogdan Szal

Authors
  1. Bogdan Szal
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szal, B. On the strong approximation by matrix means in the generalized Hölder metric. Rend. Circ. Mat. Palermo 56, 287–304 (2007). https://doi.org/10.1007/BF03031446

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03031446

Keywords and phrases

2000 Mathematics Subject Classification

Search

Navigation