×

Reverse Beckenbach-Dresher’s inequality. (English) Zbl 1372.26026

Summary: In the paper, we establish an inverse of Beckenbach-Dresher’s integral inequality, which provides new estimates on inequality of this type.

MSC:

26D15 Inequalities for sums, series and integrals
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Beckenbach, EF: A class of mean-value functions. Am. Math. Mon. 57, 1-6 (1950) · Zbl 0035.15704 · doi:10.2307/2305163
[2] Beckenbach, EF, Bellman, R: Inequalities. Springer, Berlin (1961) · Zbl 0097.26502 · doi:10.1007/978-3-642-64971-4
[3] Dresher, M: Moment space and inequalities. Duke Math. J. 20, 261-271 (1953) · Zbl 0050.28202 · doi:10.1215/S0012-7094-53-02026-2
[4] Danskin, JM: Beckenbach inequality and its variants. Am. Math. Mon. 49, 687-688 (1952) · Zbl 0048.04001 · doi:10.2307/2307547
[5] Wang, CL: Variants of the Hölder inequality and its inverses. Can. Math. Bull. 20, 377-384 (1977) · Zbl 0398.26018 · doi:10.4153/CMB-1977-056-5
[6] Kusraev, AG: A Beckenbach-Dresher type inequality in uniformly complete f-algebras. Vladikavkaz. Mat. Zh. 13(1), 38-43 (2011) · Zbl 1242.06015
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.