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Mathematical Communications, Vol. 16 No. 1, 2011.

Original scientific paper

Approximation by complex Lorentz polynomials

Sorin G. Gal ; Department of Mathematics and Computer Science, University of Oradea, Oradea, Romania

Full text: english pdf 179 Kb

page 67-75

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Abstract

In this paper we obtain a quantitative estimate in the Voronovskaja's theorem and the exact orders in simultaneous approximation by the complex Lorentz polynomials attached to analytic functions in compact disks. Also, we study the approximation properties of the iterates of these polynomials.

Keywords

complex Lorentz polynomials; quantitative exact estimates; Voronovskaja's theorem; iterates

Hrčak ID:

68623

URI

https://hrcak.srce.hr/68623

Publication date:

10.6.2011.

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