王波. 函数列局部一致收敛性及其性质[J]. 南昌航空大学学报(自然科学版), 1996, 10(2): 84-87.
引用本文: 王波. 函数列局部一致收敛性及其性质[J]. 南昌航空大学学报(自然科学版), 1996, 10(2): 84-87.
shu
Wang Bo. Local Uniform Convergence of Sequence Of Function And Some Properties[J]. Journal of nanchang hangkong university(Natural science edition), 1996, 10(2): 84-87.
Citation: Wang Bo. Local Uniform Convergence of Sequence Of Function And Some Properties[J]. Journal of nanchang hangkong university(Natural science edition), 1996, 10(2): 84-87.
shu

函数列局部一致收敛性及其性质

Local Uniform Convergence of Sequence Of Function And Some Properties

    摘要
  • 摘要: 本文给出函数列fn(x)在某一点xo局部一致收敛的定义,并讨论了局部一致收敛的若干性质,从而在此一致收敛性弱的条件下得到极限函数的连续性、可微性.

     

    Abstract: In this paper,we give the definitoin of local uniform covergence of sequence of function,discuss its properties,and then obtain continutity,differentiability of limit function under the condition that sequence of function is local uniform convergence.

     

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