Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski's formula and an application to universal Taylor series

Authors
Katsoprinakis, ES Papadimitrakis, M
Citation
Es. Katsoprinakis et M. Papadimitrakis, Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski's formula and an application to universal Taylor series, P AM MATH S, 127(7), 1999, pp. 2083-2090
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
7
Year of publication
1999
Pages
2083 - 2090
Database
ISI
SICI code
0002-9939(199907)127:7<2083:EOATOM>2.0.ZU;2-7
Abstract
This paper extends Rogosinski's formula and the Marcinkiewicz-Zygmund Theor em about circular structure of the limit points of the partial sums of (C,1 ) summable Taylor series. Also a result about summability of H-p Taylor ser ies is proved and an application on Universal Taylor series is given.