New half-discrete Hilbert inequalities for three variables

被引：10

作者：

Batbold, Tserendorj ^{[1
]}

Azar, Laith E. ^{[2
]}

机构：

[1] Natl Univ Mongolia, Dept Math, Ulaanbaatar 14201, Mongolia

[2] Al Al Bayt Univ, Dept Math, POB 130095, Mafraq, Jordan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Hilbert inequality; half-discrete inequality; the best possible constant; equivalent form;

D O I：

10.1186/s13660-017-1594-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain two new half-discrete Hilbert inequalities for three variables. The obtained inequalities are with the best constant factor. Moreover, we give their equivalent forms.

引用

页数：15

共 19 条

[1] On several new Hilbert-type inequalities involving means operators [J].

Adiyasuren, Vandanjav ;

Batbold, Tserendorj ;

Krnic, Mario .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (08) :1493-1514

[2] ON A SHARPER FORM OF HALF-DISCRETE HILBERT INEQUALITY [J].

Azar, L. E. .

TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (01) :77-85

[3] TWO NEW FORMS OF HILBERT INTEGRAL INEQUALITY [J].

Azar, L. E. .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03) :937-946

[4]

Azar L.E., 2013, J INEQUAL APPL, V1, P452

[5]

Azar LE, 2014, J EGYPT MATH SOC, V22, P254

[6]

Batbold T, 2018, J MATH INEQ IN PRESS

[7] SHARP BOUNDS FOR m-LINEAR HILBERT-TYPE OPERATORS ON THE WEIGHTED MORREY SPACES [J].

Batbold, Tserendorj ;

Sawano, Yoshihiro .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (01) :263-283

[8]

Gao MZ, 1998, P AM MATH SOC, V126, P751

[9]

Hardy Godfrey Harold, 1952, Inequalities, V2nd

[10]

Krnic M, 2005, MATH INEQUAL APPL, V8, P29

← 1 2 →