关于多元幂级数

引入了多元函数项级数的概念,给出了其收敛域及和函数的定义;通过详实的例子讨论了多元幂级数的收敛域、和函数及多元函数展开为多元幂级数的计算方法.     

有心2-环绕系统中心距离的几何不等式

定义了无心2-环绕系统S~((m)){Γ,A,A_+,l}和有心2-环绕系统S~((2)){P,Γ,A,A_+,l}.借助于等周不等式理论对于有心2-环绕系统建立了如下的一类几何不等式.     

$p=-1$的Hardy型不等式的最佳常数

For p＞1,many improved or generalized results of the well-known Hardy's inequality have been established.In this paper,by means of the weight coefficient method,we establish the following Hardy type inequality for P=-1:n∑i=1(1/ii∑j=1aj)-1＜2n∑i=1(1-π2-9/3i)ai-1,Cn such that the inequality ∑ni=1(1/i∑ij=1 aj)-1≤Cn∑ni=1ai-1 holds.Moreover,by means of the Mathematica software,we give some examples.