ON AN EQUIVALENT PROPERTY OF A REVERSE HILBERT-TYPE INTEGRAL INEQUALITY RELATED TO THE EXTENDED HURWITZ-ZETA FUNCTION

被引：35

作者：

Rassias, Michael Th. ^{[1
,2
,3
]}

Yang, Bicheng ^{[4
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Moscow Inst Phys & Technol, Inst Skiy Per,D 9, Dolgoprudnyi 141700, Russia

[3] Inst Adv Study, Program Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540 USA

[4] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 02期

关键词：

Reverse Hilbert-type integral inequality; weight function; equivalent form; kernel; Hurwitz zeta function;

D O I：

10.7153/jmi-2019-13-23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some equivalent conditions of a reverse Hilbert-type integral inequality with a particular non-homogeneous kernel and a best possible constant factor related to the extended Hurwitz-zeta function. Some equivalent conditions of a reverse Hilbert-type integral inequality with the particular homogeneous kernel are deduced. We also consider some particular cases.

引用

页码：315 / 334

页数：20

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