半离散且带有广义齐次核Hilbert型不等式的加强

Strengthening Half-Discrete Hilbert-Type Inequality with a Generalized Homogeneous Kernel

利用实函数技巧,引入实齐次核并估算权函数,运用加强的Hlder不等式对一个半离散且带有广义齐次核的Hlibert型不等式进一步加强,从而建立了一些新的不等式.

By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques,by means of a sharpening of Hlder inequality,a half-discrete Hilbert-type inequality with a generalized homogeneous kernel is improved,and some new inequalities are built.