Beckenbach inequality and its variants
type: Item
instance of: scholarly article
title: Beckenbach inequality and its variants
zbMATH Open document ID: 0642.26013
DOI: 10.1016/0022-247X(88)90398-8
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: One of the most interesting generalizations of the Hölder inequality was proved as Theorem 1 given on page 24 of \textit{E. F. Beckenbach} [J. Math. Anal. Appl. 15, 21-29 (1966; Zbl 0141.241)]. This generalization is now known as the Beckenbach inequality [see the author, J. Math. Anal. Appl. 71, 423-430 (1979; Zbl 0425.26009); ibid. 72, 355-361 (1979; Zbl 0425.26008); ibid. 95, 564-574 (1983; Zbl 0524.26012); and the author and \textit{S. Iwamoto}, ibid. 118, 279-286 (1986; Zbl 0593.26011)]. In this paper, we proved the Beckenbach inequality and its continuous counterpart by a direct use of the usual Hölder inequality.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 4046052
zbMATH Keywords: generalizations of the Hölder inequality
zbMATH Keywords: Beckenbach inequality
MaRDI profile type: Publication
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full work available at URL: 0022-247x(88)90398-8
OpenAlex ID: W2086662356
description: scientific article; zbMATH DE number 4046052