Beckenbach inequality and its variants
Copyright policy )Beckenbach inequality and its variants
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.
- University of Regina Canada
Applied Mathematics, generalizations of the Hölder inequality, Inequalities for sums, series and integrals, Analysis, Beckenbach inequality
Applied Mathematics, generalizations of the Hölder inequality, Inequalities for sums, series and integrals, Analysis, Beckenbach inequality
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