A MORE ACCURATE HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL NON-HOMOGENEOUS KERNEL AND OPERATOR EXPRESSIONS

作者：Huang, Qiliang^*; Wang, Aizhen; Yang, Bicheng

来源：Mathematical Inequalities & Applications, 2014, 17(1): 367-388.

DOI：10.7153/mia-17-28

• Half-discrete Hilbert-type inequality
• weight function
• equivalent form
• reverse
• Hilbert-type operator

In this paper, by the use of the methods of weight functions and technique of real analysis, a more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and a best possible constant factor is given. The equivalent forms and some reverses are obtained. We also consider the operator expressions with the norm and some particular examples.

• 出版日期2014-1
• 单位广东第二师范学院