Studied the Hilbert transformation of Cosin intergal function Ci(x) and Sine intergal function Si(x).
讨论了余弦积分函数Ci(x)与正弦积分函数Si(x)的Hilbert变换,证明了Ci(x)与-sgn(x)Si(|x|)构成Hilbert变换对,即Ci(x)-isgn(x)Si(|x|)为解析信号,同时求出了Si(x)的Hilbert变换,证明了Si(x)与Ci(x)-Ci(0)构成Hilbert对。
Presents the symmetry and subadditivity of double chord-power integrals,and the double chord-power integrals forms of the Schwarz inequality and Holder inequality.
讨论了双弦幂积分的对称性、次可加性,给出了Schwarz不等式、Holder不等式的双弦幂积分形式。
In this paper,we calculate the double chord-power integrals on circular disk,and arrive at some important properties and inequalities of the double chord-power integrals.
给出圆盘上的一些双弦幂积分公式,并由此获得一些重要的性质及双弦幂积分的一些不等式。