A New Hilbert-Type Linear Operator with a Composite Kernel and Its Applications

被引：0

作者：

Wuyi Zhong

机构：

[1] Guangdong Institute of Education,Department of Mathematics

来源：

Journal of Inequalities and Applications | / 2010卷

关键词：

Linear Operator; Weight Function; Kernel Function; Differentiable Function; Constant Factor;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new Hilbert-type linear operator with a composite kernel function is built. As the applications, two new more accurate operator inequalities and their equivalent forms are deduced. The constant factors in these inequalities are proved to be the best possible.

引用

共 50 条

[31] Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel
Predrag Vuković
Journal of Inequalities and Applications, 2009
[32] THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS
Liu, Yingdi
Liu, Qiong
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (06)
[33] ON A NEW HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE WITH THE GENERAL HOMOGENEOUS KERNEL
Yang, Bicheng
Zhong, Yanru
Wang, Aizhen
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (05): : 2583 - 2600
[34] Hilbert-type operator induced by radial weight
Angel Pelaez, Jose
de la Rosa, Elena
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 495 (01)
[35] On a Hilbert-Type Operator with a Class of Homogeneous Kernels
Yang, Bicheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[36] AN EQUIVALENT PROPERTY OF A HILBERT-TYPE INTEGRAL INEQUALITY AND ITS APPLICATIONS
Yang, B.
Andrica, D.
Bagdasar, O.
Rassias, M. Th.
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2022, 16 (02) : 548 - 563
[37] A new Hilbert-type inequality
Yang, Bicheng
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2006, 13 (03) : 479 - 487
[38] On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of[inline-graphic not available: see fulltext]1-Order and Applications
Bicheng Yang
Journal of Inequalities and Applications, 2007
[39] A REVERSE HILBERT-TYPE INEQUALITY WITH A GENERALIZED HOMOGENEOUS KERNEL
He, Bing
TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (01): : 1 - 7
[40] On a Multiple Hilbert-Type Integral Inequality with the Symmetric Kernel
Wuyi Zhong
Bicheng Yang
Journal of Inequalities and Applications, 2007

← 1 2 3 4 5 →