A generalized Beckenbach--Dresher inequality and related results
{Sanja Varosanec
Source: Banach J. Math. Anal. Volume 4, Number 1
(2010), 13-20.
Abstract
After a short expose of the history of the Beckenbach--Dresher inequality, general result and the Aczel 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.
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Keywords: Beckenbach--Dresher inequality; difference, Holder's inequality; Minkowski's inequality; superadditivity
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bjma/1272374668
Mathematical Reviews number (MathSciNet): MR2580914
Zentralblatt MATH identifier: 05702396
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Banach Journal of Mathematical Analysis
