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

Mohamed El Kadiri | Zendy; Mohammed Harfaoui | Zendy

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

Author(s) -

Mohamed El Kadiri,

Mohammed Harfaoui

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/845146

Subject(s) - mathematics , uniform norm , norm (philosophy) , polynomial , compact space , entire function , growth function , function (biology) , mathematical analysis , pure mathematics , statistics , evolutionary biology , political science , law , biology

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

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