准齐次核的Hardy-Hilbert型级数不等式

Hardy-Hilbert Type Series Inequality with a Quasi-homogeneous Kernel

定义了一类准齐次函数,将齐次函数进行了推广.讨论了具有准齐次核的Hardy-Hilbert型级数不等式,并在一定条件下研究了最佳常数因子.

As a generalization of homogeneous function, a quasi-homogeneous function is defined. A Hardy-Hilbert type series inequality with a quasi-homogeneous kernel is given. The best constant factor is discussed under some conditions.