On Cèsaro and Copson norms of nonnegative sequences

The C`esaro and Copson norms of a nonnegative sequence are lp-norms of its arithmetic means and the corresponding conjugate means. It is well known that, for $1 < p < \infty$, these norms are equivalent. In 1996, G. Bennett posed the problem of finding the best constants in the associa...

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Bibliographic Details
Date:2019
Main Authors: Kolyada, V. I., Коляда, В. І.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1433
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal