Skip to main content
SpringerLink
Log in

Some Applications of Generalized Jacobi Weights

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

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. Szegö, Orthogonal Polynomials, AMS Coll. Publ., Vol.23, AMS (Providence, R.I., 1967).

    Google Scholar 

  2. Y. L. Geronimus, Polynomials Orthogonal on a Circle and Interval, Pergamon Press (1960).

  3. G. Freud, Orthogonal Polynomials, Akadémiai Kiadó (Budapest, 1971).

    Google Scholar 

  4. P. G. Nevai, Orthogonal Polynomials, Memoirs of the AMS, Vol.213, AMS (Providence, R.I., 1979).

    Google Scholar 

  5. V. M. Badkov, Asymptotic and extremal properties of orthogonal polynomials..., Proc. Steklov Inst. Math., 1 (1994), 37–82.

    Google Scholar 

  6. A. Máté and P. G. Nevai, Bernstein inequality in L p for 0 < p < 1 and (C, 1) bounds for orthogonal polinomials, Ann. of Math., 111 (1980), 145–154.

    Google Scholar 

  7. D. S. Lubinsky and P. Nevai, Markov-Bernstein inequalities revisited, Approx. Th. Appl., 3 (1987), 98–119.

    Google Scholar 

  8. T. Erdélyi and P. Nevai, Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polinomials, J. of Approx. Theory, 69 (1992), 111–132.

    Google Scholar 

  9. A. F. Timan, Approximation Theory of Functions of Real Variables (Moscow, 1960) (Russian).

  10. P. Erdös and P. Turán, On interpolation, Ann. of Math., 38 (1937), 142–155.

    Google Scholar 

  11. B. Della Vecchia, G. Mastroianni and P. Vértesi, Boundedness of Lagrange and Hermite operators, in Approx. Theory, Proc. of IDOMAT 95 (Witten), eds. M. W. Müller et al. Mathematical Research, 86 (1995), 53–69.

  12. Z. Ditzian and V. Totik, Moduli of Smoothness, Springer-Verlag (1987).

  13. G. Mastroianni, Weighted polynomial inequalities, J. Comp. and Appl. Math., 65 (1995), 279–292.

    Google Scholar 

  14. P. Nevai, Mean convergence of Lagrange interpolation. III, Trans. AMS, 282 (1984), 669–698.

    Google Scholar 

  15. R. Hunt, B. Muckenhoupt and R. L. Wheeden, Weighted norm inequalities..., Trans. AMS, 176 (1973), 227–251.

    Google Scholar 

  16. G. Mastroianni and V. Totik, Weighted polynomial inequalities with doubling and A ∞ weights, submitted.

  17. Y. Xu, On mean convergence of interpolating polynomial, Coll. Math. Soc. J. Bolyai, 58 (1990), 749–761.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento D Matematica, Universitá Di Basilicata, Potenza, Italy

    G. Mastroianni

  2. Mathematical Institute of the, Hungarian Academy of Sciences, 1053, Budapest, Reáltanoda U. 13-15

    P. Vértesi

Authors
  1. G. Mastroianni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Vértesi
    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

Mastroianni, G., Vértesi, P. Some Applications of Generalized Jacobi Weights. Acta Mathematica Hungarica 77, 323–357 (1997). https://doi.org/10.1023/A:1006593711485

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1006593711485

Keywords

Search

Navigation