an: Zbl 1202.26040
au: Varo\v sanec, Sanja
ti: A generalized Beckenbach-Dresher inequality and related results.
la: EN
so: Banach J. Math. Anal. 4, No. 1, 13-20, electronic only (2010).
py: 2010
dt: J
cc: *26D15 39B62
ut: Beckenbach-Dresher inequality; difference; H\"older's inequality;
    Minkowski's inequality; superadditivity
ab: Summary: After a short expose of the history of the Beckenbach-Dresher
    inequality, a general result and the Acz\'el 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.