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Best Polynomial Approximation in -Norm and -Growth of Entire Functions

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  • Mohamed El Kadiri
  • Mohammed Harfaoui

Abstract

The classical growth has been characterized in terms of approximation errors for a continuous function on by Reddy (1970), and a compact of positive capacity by Nguyen (1982) and Winiarski (1970) with respect to the maximum norm. The aim of this paper is to give the general growth ( -growth) of entire functions in by means of the best polynomial approximation in terms of -norm, with respect to the set , where is the Siciak's extremal function on an -regular nonpluripolar compact is not pluripolar.

Suggested Citation

  • Mohamed El Kadiri & Mohammed Harfaoui, 2013. "Best Polynomial Approximation in -Norm and -Growth of Entire Functions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, February.
    • Handle: RePEc:hin:jnlaaa:845146
    DOI: 10.1155/2013/845146
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