Generalized order and type of entire functions and best approximation in \(L^p\)-norm

DOI10.1007/s11565-012-0168-2zbMath1300.32002OpenAlexW2006852674MaRDI QIDQ467151

Girja S. Srivastava

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0168-2

zbMATH Keywords

polynomial approximationentire functions of several variablesgeneralized order of entire functionsgeneralized type of entire functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Entire functions of several complex variables (32A15)

Cites Work

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• Generalized order and best approximation of entire function in \(L^{p}\)-norm
• Meilleure approximation polynomiale et croissance des fonctions entières sur certaines variétés algébriques affines. (Best polynomial approximation and growth of entire functions on certain affine algebraic varieties)
• Polynomial approximation of an entire function of slow growth
• Generalized growth and best approximation of entire functions in \(L^p\) -norm in several complex variables
• On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
• On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion

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