A MORE ACCURATE HALF-DISCRETE HILBERT-TYPE INEQUALITY INVOLVING ONE HIGHER-ORDER DERIVATIVE FUNCTION

被引：1
作者：
Zhong, Jianhua [1 ]
Yang, Bicheng [1 ]
Chen, Qiang [2 ]
机构：
[1] Guangdong Univ Educ, Sch Math, Guangzhou 51003, Guangdong, Peoples R China
[2] Guangdong Univ Educ, Sch Comp Sci, Guangzhou 51003, Guangdong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Weight function; Hermite-Hadamards inequality; half-discrete Hilbert-type inequality; higher-order derivative function; parameter; best possible constant factor; KERNEL;
D O I：
10.11948/20210223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of the weight functions, Hermite-Hadamards inequality and the techniques of real analysis, a new more accurate half-discrete Hilbert-type inequality involving one higher-order derivative function is given. The equivalent conditions of the best possible constant factor related to a few parameters, the equivalent forms, several particular inequalities and the operator expressions are considered.
引用
收藏
页码：378 / 391
页数：14
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