期刊文献+

函数的逼近及其在下半连续函数可微性中的应用(英文)

Approximation of Functions and Its Application to Differentiability of Lower Semicontinuous Functions
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摘要 通过函数的下卷积函数列的逼近方法,在变分原理中从扰动最小值点集的“大小”入手,研究了下半连续函数的可微性. Based on the 'size' of the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the inf-convolution sequence.
出处 《应用泛函分析学报》 CSCD 2002年第4期289-293,共5页 Acta Analysis Functionalis Applicata
关键词 下半连续函数 可微性 逼近 lower semicontinuous function differentiability approximation
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参考文献4

  • 1EkelandI.On the variationalprinciple[J].J Math Anal Appl,1974,47:324-353.
  • 2Phelps R R. Convex Functions, Monotone Operators and Differentiability. LectureNotes in Mathematics 1364[M]. New York: Springer-Verlag, 1989.
  • 3Borwein J M, Preiss D. A smooth variational principle with application tosubdifferentiability and to differentiability of convex functions[J]. Trans Amer Math Soc,1987, 303: 517-527.
  • 4Preiss D. Differentiability of Lipschitz functions on Banach spaces[J]. J FunctAnal, 1990, 91: 312-345.

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