ArticleOriginal scientific text

Title

Lp-convergence of Bernstein-Kantorovich-type operators

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Bari, Via E. Orabona, 4, 70125 Bari, Italy
  2. Department of Mathematics, University of Lecce, Via Arnesano, 73100 Lecce, Italy

Abstract

We study a Kantorovich-type modification of the operators introduced in [1] and we characterize their convergence in the Lp-norm. We also furnish a quantitative estimate of the convergence.

Keywords

Kantorovich operators, quantitative estimates

Bibliography

  1. M. Campiti and G. Metafune, Approximation properties of recursively defined Bernstein-type operators, preprint, 1994.
  2. M. Campiti and G. Metafune, Evolution equations associated with recursively defined Bernstein-type operators, preprint, 1994.
  3. G. G. Lorentz, Bernstein Polynomials, 2nd ed., Chelsea, New York, 1986.
  4. B. Sendov and V. A. Popov, The Averaged Moduli of Smoothness, Pure Appl. Math., Wiley, 1988.
  5. E. C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, 1939.
Pages:
273-280
Main language of publication
English
Received
1994-11-06
Accepted
1995-04-20
Published
1996
Exact and natural sciences