Open Access
2010 A generalized Beckenbach--Dresher inequality and related results
{Sanja Varosanec
Banach J. Math. Anal. 4(1): 13-20 (2010). DOI: 10.15352/bjma/1272374668

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.

Citation

Download Citation

{Sanja Varosanec. "A generalized Beckenbach--Dresher inequality and related results." Banach J. Math. Anal. 4 (1) 13 - 20, 2010. https://doi.org/10.15352/bjma/1272374668

Information

Published: 2010
First available in Project Euclid: 27 April 2010

zbMATH: 1202.26040
MathSciNet: MR2580914
Digital Object Identifier: 10.15352/bjma/1272374668

Subjects:
Primary: 26D15
Secondary: ‎39B62

Keywords: Beckenbach--Dresher inequality , difference, Holder's inequality , ‎Minkowski's inequality , superadditivity

Rights: Copyright © 2010 Tusi Mathematical Research Group

Vol.4 • No. 1 • 2010
Back to Top