Generalization of a sharp Holder's inequality and its application

被引：30

作者：

Wu, Shan He ^{[1
]}

机构：

[1] Longyan Univ, Dept Math & Comp Sci, Fujian 364000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 01期

关键词：

Holder's inequality; Opial-Olech inequality; integral inequality; power means inequality; generalization; sharpness;

D O I：

10.1016/j.jmaa.2006.10.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we generalize Hu Ke's sharpness of Holder's inequality. As application, the obtained result is used to improve the well-known Opial-Olech inequality. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：741 / 750

页数：10

共 13 条

[1] REMARKS ON THE GENERALIZATIONS OF OPIALS INEQUALITY [J].

AGARWAL, RP ;

PANG, PYH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 190 (02) :559-577

[2]

AGARWAL RP, 1995, OPIAL INEQUALITIES A

[3]

[Anonymous], CLASSICAL NEW INEQUA

[4] Holder's inequality for perturbations of positive semigroups by potentials [J].

Arendt, W ;

Demuth, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) :652-663

[5]

Beckenbach E., 1983, Inequalities

[6]

Hardy G.H., 1952, INEQUALITIES

[7]

HU K, 1981, SCI SINICA, V24, P1047

[8]

Mitrinovic D. S., 1970, Analytic Inequalities, V1

[9] On converses of Holder and Beckenbach inequalities [J].

Mond, B ;

Pecaric, JE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (03) :795-799

[10]

OLECH C, 1960, ANN POL MATH, V8, P61

← 1 2 →