A GENERALIZED BECKENBACH-DRESHER INEQUALITY AND RELATED RESULTS

被引：9

作者：

Varosanec, Sanja ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2010年 / 4卷 / 01期

关键词：

Beckenbach-Dresher inequality; difference; Holder's inequality; Minkowski's inequality; superadditivity;

D O I：

10.15352/bjma/1272374668

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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) := A(u/p) (f(p))/B(u-1/q)(g(q)) is proved. Also, a difference which is inspired by one integral analogue of the Beckenbach-Dresher inequality is considered.

引用

页码：13 / 20

页数：8

共 11 条

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[2]

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[3]

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[4]

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[7]

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[8]

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[9]

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[10]

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