Properties of Mappings Related to the Minkowski Inequality

被引：6

作者：

Ivankovic, Bozidar ^{[2
]}

Pecaric, Josip ^{[3
]}

Varosanec, Sanja ^{[1
]}

机构：

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

[2] Univ Zagreb, Fac Transport & Traff Engn, Zagreb 10000, Croatia

[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 04期

关键词：

Holder's inequality; Minkowski's inequality; refinements; subadditive function; superadditive function;

D O I：

10.1007/s00009-010-0104-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain properties of several mappings which are arisen from the Minkowski inequality. We investigate superadditivity (subadditivity) and monotonicity of those functions, and give some refinements of the Minkowski inequality and the Holder inequality.

引用

页码：543 / 551

页数：9

共 6 条

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[3] MINKOWSKI AND TCHEBYCHEF INEQUALITIES AS FUNCTIONS OF INDEX SET [J].

MCLAUGHLIN, HW ;

METCALF, FT .

DUKE MATHEMATICAL JOURNAL, 1968, 35 (04) :865-+

[4]

Pecaric J., 1992, Mathematics in Science and Engineering

[5]

PECARIC JE, 1993, MAT BILTEN, V17, P69

[6]

Vasic PM, 1982, REV ANAL NUMER THEOR, V25, P95

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