Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel

被引：0

作者：

Vukovic, Predrag ^{[1
]}

机构：

[1] Univ Zagreb, Fac Teacher Educ, Zagreb 10000, Croatia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2009年

关键词：

PARAMETERS;

D O I：

10.1155/2009/130958

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of conjugate parameters when the parameters satisfy appropriate conditions. We also compare our results with some known results. Copyright (c) 2009 Predrag Vukovic.

引用

页数：12

共 50 条

[1] Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel
Predrag Vuković
Journal of Inequalities and Applications, 2009
[2] The Hilbert-type integral inequalities with a homogeneous kernel of -λ-degree
Zhong, Wuyi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[3] Hilbert-type inequalities with a product-type homogeneous kernel and Schur polynomials
Peric, Ivan
Vukovic, Predrag
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 786 - 793
[4] HILBERT-TYPE INEQUALITIES AND RELATED OPERATORS WITH HOMOGENEOUS KERNEL OF DEGREE 0
Yang Bicheng
Krnic, Mario
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (04): : 817 - 839
[5] Hilbert-type inequalities in homogeneous cones
Garrigos, Gustavo
Nana, Cyrille
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2020, 31 (04) : 815 - 838
[6] A Unified Treatment of Half-Discrete Hilbert-Type Inequalities with a Homogeneous Kernel
Krnic, Mario
Pecaric, Josip
Vukovic, Predrag
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1697 - 1716
[7] Hilbert-Type Integral Inequalities in the Whole Plane with the Non-homogeneous Kernel
Xin, Dongmei
KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (01): : 1 - 9
[8] SOME NEW INEQUALITIES SIMILAR TO HILBERT-TYPE INTEGRAL INEQUALITY WITH A HOMOGENEOUS KERNEL
Adiyasuren, Vandanjav
Batbold, Tserendorj
JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (02): : 183 - 193
[9] A Unified Treatment of Half-Discrete Hilbert-Type Inequalities with a Homogeneous Kernel
Mario Krnić
Josip Pečarić
Predrag Vuković
Mediterranean Journal of Mathematics, 2013, 10 : 1697 - 1716
[10] On the multidimensional Hilbert-type inequalities involving the Hardy operator
Krnic, Mario
FILOMAT, 2012, 26 (04) : 845 - 857

← 1 2 3 4 5 →