Generalized Order and Best Approximation of Entire Function in -Norm

Author:

Harfaoui Mohammed1ORCID

Affiliation:

1. University Hassan II-Mohammedia, U.F.R Mathematics and Applications, F.S.T, BP 146, Mohammedia, Morocco

Abstract

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 , where is the Siciak extremal function of a -regular compact .

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant;International Journal of Mathematics and Mathematical Sciences;2019-11-03

2. On Growth and Approximation of Generalized Biaxially Symmetric Potentials on Parabolic-Convex Sets;Communications in Advanced Mathematical Sciences;2018-12-24

3. \(L^p\)-approximation and generalized growth of generalized biaxially symmetric potentials on hyper sphere;Journal of Numerical Analysis and Approximation Theory;2018-08-06

4. Best Polynomial Approximation in -Norm and -Growth of Entire Functions;Abstract and Applied Analysis;2013

5. Generalized order and type of entire functions and best approximation in L p -norm;ANNALI DELL'UNIVERSITA' DI FERRARA;2012-08-28

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