吉林大学学报(理学版)2017,Vol.55Issue(2):189-194,6.DOI:10.13413/j.cnki.jdxblxb.2017.02.01
具有齐次核的Hilbert型积分不等式的构造特征及应用
Structural Characteristics and Applications of Hilbert's Type Integral Inequalities with Homogenous Kernel
摘要
Abstract
By using the technique of real analysis,the author studied the structural characteristics of Hilbert's type integral inequalities with homogeneous kernel and the necessary and sufficient condition for obtaining the best constant factor,and obtained the analytical expression of the best constant factor.关键词
Hilbert型积分不等式/结构特征/最佳常数因子/充分必要条件Key words
Hilbert's type integral inequality/structural characteristics/the best constant factor/necessary and sufficient condition分类
数理科学引用本文复制引用
洪勇..具有齐次核的Hilbert型积分不等式的构造特征及应用[J].吉林大学学报(理学版),2017,55(2):189-194,6.基金项目
国家自然科学基金(批准号:61300204)和广东省自然科学基金(批准号:S2012010010376). (批准号:61300204)