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UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS

Published online by Cambridge University Press:  24 July 2006

J. MÜLLER ,
V. VLACHOU  and
A. YAVRIAN
J. MÜLLER
Affiliation:
FB IV-Mathematics, D-54286 Trier, Germanyjmueller@uni-trier.de
V. VLACHOU
Affiliation:
Department of Applied Mathematics, University of Crete, Knossos Ave, GR-71409 Heraklion, Greecevagia@tem.uoc.gr
A. YAVRIAN
Affiliation:
Institute of Mathematics, Armenian National Academy of Sciences, Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armeniaayavrian@hotmail.com
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Abstract

We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions.

Keywords

30B10
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 4 , August 2006 , pp. 597 - 606
Copyright
The London Mathematical Society 2006

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