Generalized Order and Best Approximation of Entire Function in -Norm | Zendy

Mohammed Harfaoui | Zendy

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Generalized Order and Best Approximation of Entire Function in -Norm

Author(s) -

Mohammed Harfaoui

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/360180

Subject(s) - mathematics , norm (philosophy) , uniform norm , order (exchange) , polynomial , entire function , function (biology) , characterization (materials science) , interpolation (computer graphics) , pure mathematics , discrete mathematics , mathematical analysis , animation , materials science , computer graphics (images) , finance , evolutionary biology , political science , computer science , law , economics , biology , nanotechnology

The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact with respect to the set Ω={∈;exp()≤}, where =sup{(1/)ln||,polynomialofdegree≤,‖‖≤1} is the Siciak extremal function of a -regular compact

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