Bulletin of the Belgian Mathematical Society - Simon Stevin

Uniform polynomial approximation and generalized growth of entire functions on arbitrary compact sets

G.S. Srivastava

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 265-276.

Abstract

For arbitrary compact set $K\subset C$ we consider the uniform polynomial approximation error $E_{n} (f, K)$ of an entire function $f$ and relate it to the generalized order, generalized lower order and generalized type of $f$.

Primary Subjects: 30D15
Keywords: Approximation; Entire Function; Order; Type; Generalized Order; Generalized Type

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038138
Zentralblatt MATH identifier: 05578798
Mathematical Reviews number (MathSciNet): MR2541040


2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin