Estimates for the semigroup associated with Bernstein operators

Authors

  • Ioan Raşa Technical University of Cluj-Napoca, Romania

Keywords:

Bernstein operators, positive semigroups
Abstract views: 723

Abstract

Let \((T(t))_{t\ge 0}\) be the semigroup associated with the classical Bernstein operators. We present some quantitative results concerning the behavior of \(T(t)\) as \(t\to 0\),respectively \(t\to \infty \).

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References

Altomare, F. and Campiti, M., Korovkin-type Approximation Theory and its Applications, W. de Gruyter, Berlin-New York, 1994.

Altomare, F. and Raşa, I., On some classes of diffusion equations and related approximation problems, to appear.

Karlin, S. and Ziegler, Z., Iteration of positive approximation operators, J. Approx. Theory, 3, pp. 310-339, 1970, https://doi.org/10.1016/0021-9045(70)90055-9.

Raşa, I., Feller semigroups, elliptic operators and Altomare projections, Rend. Circ. Mat. Palermo II, Suppl. 68, pp. 133-155, 2002.

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Published

2004-08-01

How to Cite

Raşa, I. (2004). Estimates for the semigroup associated with Bernstein operators. Rev. Anal. Numér. Théor. Approx., 33(2), 243–245. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2004-vol33-no2-art17

Issue

Vol. 33 No. 2 (2004)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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