Probability theoretic generalizations of Hardy's and Copson's inequality

Open Access
Authors
Publication date 03-2023
Journal Indagationes Mathematicae
Volume | Issue number 34 | 2
Pages (from-to) 306-316
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract A short proof of the classic Hardy inequality is presented for p-norms with p>1. Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy's inequality in the terminology of probability theory. A probability theoretic version of Copson's inequality is discussed as well. Also for 0<p<1 probability theoretic generalizations of the Hardy and the Copson inequality are proved.
Document type Article
Note In Special issue on the occasion of Jaap Korevaar’s 100-th birthday.
Language English
Published at https://doi.org/10.1016/j.indag.2022.11.005
Other links https://www.scopus.com/pages/publications/85144999013
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