Estimates for the semigroup associated with Bernstein operators

Authors

  • Ioan Raşa Technical University of Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat332-783

Keywords:

Bernstein operators, positive semigroups
Abstract views: 810

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. DOI: https://doi.org/10.1515/9783110884586

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. DOI: 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. https://doi.org/10.33993/jnaat332-783

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