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Zbl 1202.26040
Varošanec, Sanja
A generalized Beckenbach-Dresher inequality and related results. (English)
[J] Banach J. Math. Anal. 4, No. 1, 13-20, electronic only (2010). ISSN 1735-8787/e

Summary: After a short expose of the history of the Beckenbach-Dresher inequality, a general result and the Aczél type inequality are given and super(sub)additivity of the function $$ G_{p,q,u} (f, g; A, B) := \frac {A^{ \frac up} (f^p)} {B^{\frac {u-1}{q}}(g^q)} $$ is proved. Also, a difference which is inspired by one integral analogue of the Beckenbach-Dresher inequality is considered.

MSC 2000:: *26D15 Inequalities for sums, series and integrals of real functions
39B62 Systems of functional equations

Keywords: Beckenbach-Dresher inequality; difference; Hölder's inequality; Minkowski's inequality; superadditivity

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