Skip to main content
Log in

Optimal quadrature ofH p functions

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Ahiezer, N.I.: Vorlesungen über Approximationstheorie. Berlin: Akademie-Verlag 1953

    Google Scholar 

  2. Andersson, J.-E., Ganelius, T.H.: The degree of approximation by rational functions with fixed poles. Math. Z.153, 161–166 (1977)

    Google Scholar 

  3. Bojanov, B.: On an optimal quadrature formula. C.R. Acad. Bulgare Sci.27, 619–621 (1974)

    Google Scholar 

  4. Ganelius, T.H.: Rational approximation in the complex plane and on the line. Ann. Acad. Sci. Fenn. Ser. A.I.2, 129–145 (1976)

    Google Scholar 

  5. Ganelius, T.H.: Some extremal functions and approximation. In: Fourier analysis and approximation theory. Proceedings of a Colloquium (Budapest (1976), pp. 371–381. Amsterdam-Oxford-New York: North Holland 1978

    Google Scholar 

  6. Gelfgren, J,: Rational interpolation to functions of Stieltjes' type. Report no. 6 Department of Mathematics, University of Umeå 1978

  7. Gončar, A.A.: On the degree of rational approximation to certain analytic functions. Mat. Sb.105, 147–163 (1978) [Russ.]. Engl. Transl.: Math. USSR-Sb. 34, 1978

    Google Scholar 

  8. Gončar, A.A., Lopez, G.: On Markov's theorem for multipoint Pade' approximation. Mat. Sb.105, 512–524 (1978) [Russ.]. Engl. Transl.: Math. USSR-Sb. 34, 1978

    Google Scholar 

  9. Loeb, H.L., Werner, H.: Optimal numerical quadrature inH p spaces. Math. Z.138, 111–117 (1974)

    Google Scholar 

  10. Newman, D.J.: Quadrature formulae forH p functions. Math. Z.166, 111–115 (1979)

    Google Scholar 

  11. Stenger, F.: Optimal convergence of minimum norm approximations inH p . Numer. Math.29, 345–362 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andersson, JE. Optimal quadrature ofH p functions. Math Z 172, 55–62 (1980). https://doi.org/10.1007/BF01182779

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01182779

Navigation