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一类特殊的g-q.d.函数一次超可微函数

A special class of g-q.d. functions-subsuper differentiable functions
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摘要 引入了一个特殊的拟可微函数类-次超可微函数,证明了其满足具有高维核的条件,并且推导出了高维核的计算公式。 In the paper, a special class of quasidifferentiable functions-subsuper differentiable functions is introduced, which satisfies the conditions of the existence of high dimensional kernels, and the formula of kernels is deduced.
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2007年第2期6-8,共3页 Journal of Foshan University(Natural Science Edition)
基金 国家博士点基金资助项目(20020141013) 国家自然科学青年基金资助项目(10001007)
关键词 拟可微函数 拟微分 拟微分核 quasidifferentiable functions quasidifferentials quasidifferential kernels
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参考文献5

  • 1DEMYANOV V F,RUBINOV A M.Constructive nonsmooth analysis[M].Berlin:Verlag Perter Lang,1995.
  • 2DEMYANOV V F,XIA Zunquan.Minimal quasidifferentials[C].Austria:Laxenburg,1984.
  • 3GAO Yan.The star-kernel for a quasidifferentiable function in one dimensional space[J].J Math Research Exposition,1988(8):152.
  • 4GAO Yan,XIA Zunquan,ZHANG Liwei.Kernelled quasidifferential for a quasidifferntiable function in two-dimensional space[J].Journal of Convex Analysis,2001,8 (2):401-408.
  • 5GAO Yan.Representative of quasidifferentials and its formula for a quasidifferentiable function[J].Set-Valued Analysis,2005 (13):323-336.

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