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二元无穷可微函数类之间包含关系的充要条件
On The Equivalent Condition of Including Between Two Classes of Indifinitely Differentiable Function of Two Variables
【摘要】 本文在文献[2]的基础上证明了二元无穷可微函数类C{Mn}D(?)C{An}D 的充要条件是(Mn?)(?)1/n=0(An1/n)或(Mn?)1/n=O((An?)1/n);C{Mn}(?)仁C{An}(?)的充要条件是(Mn)1/n=O(An1/n)或(Mnf)1/n=O(Anf),从而把一元情况的结论([1]6.7)推广到二元情况。
【Abstract】 In this article,we give out the theorem as follow{Mn},{An}aresequences of positive number,D is a open region(a,b)x(c,d),thenif and only ifA Here,C{Mn}s is the class of indefinitely differentiftble function of two variables on S,
- 【文献出处】 长春邮电学院学报 ,Journal of Changchun Post and Telecommunication Institute , 编辑部邮箱 ,1986年01期
- 【被引频次】1
- 【下载频次】14