摘要
Hilbert型不等式是分析学的重要不等式.近年权系数方法的改进及参量化思想的应用使这一领域的研究有了深入发展.文章通过引入参数及估算权函数,建立一个反向的核为-λ齐次且具有最佳常数因子的Hilbert型积分不等式.作为应用,建立了它的等价式.
Hilbert-type inequalities are important in analysis and its applications.In recent years,with improvement of the weight coefficient and introducing some parameters,a number of new results are established.By introducing some parameters and estimating weight function,we obtain a new reverse Hilbert s type integral inequality with the homogeneous kernel-λ-order and the best constant factor.We also consider its equivalent form.
出处
《广州大学学报（自然科学版）》
CAS
2009年第2期37-40,共4页
Journal of Guangzhou University:Natural Science Edition
基金
广东高校自然科学重点研究项目(05Z026)
关键词
反向Hilbert型积分不等式
权函数
最佳因子
等价式
reverse Hilbert-type integral inequality
weight function
best constant factor
equivalent form
