$L^p$-convergence of Bernstein-Kantorovich-type operators

• Autorzy: Michele Campiti , Giorgio Metafune
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Kantorovich operators; quantitative estimates

Kategorie tematyczne

• 41A10: Approximation by polynomials
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 63
• Numer: 3
• Strony: 273-280

Daty

wydano

1996

otrzymano

1994-11-06

poprawiono

1995-04-20

Twórcy

autor

Michele Campiti

• Department of Mathematics, University of Bari, Via E. Orabona, 4, 70125 Bari, Italy

autor

Giorgio Metafune

• Department of Mathematics, University of Lecce, Via Arnesano, 73100 Lecce, Italy

Bibliografia

• [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.