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Approximating Functions by the Riemann Zeta-Function and by Polynomials with Zero Constraints

Approximating Functions by the Riemann Zeta-Function and by Polynomials with Zero Constraints On certain compact sets K, we shall approximate functions having no zeros on the interior of K by translates of the Riemann zeta-function. As J. Andersson has shown recently, this is related to a natural problem in polynomial approximation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Approximating Functions by the Riemann Zeta-Function and by Polynomials with Zero Constraints

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321826
Publisher site
See Article on Publisher Site

Abstract

On certain compact sets K, we shall approximate functions having no zeros on the interior of K by translates of the Riemann zeta-function. As J. Andersson has shown recently, this is related to a natural problem in polynomial approximation.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 25, 2012

References