摘要
应用实分析技巧、权函数方法及参量化思想,给出了一个一般齐次核Hardy-Mulholland型不等式,此为经典的Mulholland不等式的推广。同时,还讨论了当常数因子取最佳值时的联系参数的等价陈述,并给出了若干应用特例。
By adopting the technique of real analysis,the weight functions and the idea of parameterization,a discrete Hardy-Mulholland-type inequality with the general homogeneous kernel which is an extension of the well known Mulholland′s inequality is given.The equivalent statements of the best possible constant factor related to some parameters are addressed,and a few particular inequalities are obtained.
作者
黄启亮
杨必成
王爱珍
HUANG Qiliang;YANG Bicheng;WANG Aizhen(Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China)
出处
《浙江大学学报(理学版)》
CAS
CSCD
北大核心
2020年第3期306-311,共6页
Journal of Zhejiang University(Science Edition)
基金
国家自然科学基金资助项目(61772140)
广州市科技计划项目(201707010229).