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

页码：378 / 391

页数：14

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