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UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS

Published online by Cambridge University Press:  24 July 2006

J. MÜLLER
Affiliation:
FB IV-Mathematics, D-54286 Trier, [email protected]
V. VLACHOU
Affiliation:
Department of Applied Mathematics, University of Crete, Knossos Ave, GR-71409 Heraklion, [email protected]
A. YAVRIAN
Affiliation:
Institute of Mathematics, Armenian National Academy of Sciences, Marshal Bagramian Ave. 24b, 375 019 Yerevan, [email protected]
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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

Type
Papers
Copyright
The London Mathematical Society 2006

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