摘要
在数学分析中,利用函数振幅成功地建立了黎曼积分的可积性理论,但对函数振幅没作系统的讨论。给出了函数在数集上的振幅与函数在一点的振幅定义;着重讨论了在一点振幅有限函数的局部性质及在一个数集上振幅有限函数的整体性质;把闭区间上连续函数的性质推广到了在一个数集上振幅有限的函数上来。
In mathematical analysis, function amplitude is used to successfully establish the integrabili--
ty theory of Riemannian integral, but function amplitude is not discussed systematically. Giving the ampli--
tude of function at the manifold and the amplitude definition of function at one point,this paper manily dis--
cusses the partial property of amplitude finite function at one point and the amplitude of the new function
at one point after arithmetic and synthetic operations of arithmetic of two functions, thus making up for
the deficiency of general textbooks.
出处
《渤海大学学报（自然科学版）》
CAS
2004年第2期130-133,共4页
Journal of Bohai University:Natural Science Edition
