ArticleOriginal scientific text
Title
-convergence of Bernstein-Kantorovich-type operators
Authors 1, 2
Affiliations
- Department of Mathematics, University of Bari, Via E. Orabona, 4, 70125 Bari, Italy
- 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 -norm. We also furnish a quantitative estimate of the convergence.
Keywords
Kantorovich operators, quantitative estimates
Bibliography
- M. Campiti and G. Metafune, Approximation properties of recursively defined Bernstein-type operators, preprint, 1994.
- M. Campiti and G. Metafune, Evolution equations associated with recursively defined Bernstein-type operators, preprint, 1994.
- G. G. Lorentz, Bernstein Polynomials, 2nd ed., Chelsea, New York, 1986.
- B. Sendov and V. A. Popov, The Averaged Moduli of Smoothness, Pure Appl. Math., Wiley, 1988.
- E. C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, 1939.