KETERDIFERENSIALAN FUNGSI LIPSCHITZ DI DALAM RUANG BERNORMA

In this thesis, we discuss about the connection between Lipschitz function and differentiable functions on normed spaces. First, we investigate the connection between Frechet differentiable functions and Gateaux differentiable functions. Next, we investigate the connection between Lipschitz function...

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书目详细资料
Main Authors: , Dwi Nur Yunianti, , Dr. Ch. Rini Indrati, M.Si
格式: Thesis
出版: [Yogyakarta] : Universitas Gadjah Mada 2012
主题:
ETD
实物特征
总结:In this thesis, we discuss about the connection between Lipschitz function and differentiable functions on normed spaces. First, we investigate the connection between Frechet differentiable functions and Gateaux differentiable functions. Next, we investigate the connection between Lipschitz functions and Fréchet differentiable functions, and the connection between Lipschitz functions and Gateaux differentiable functions by properties of the Radon Nikodym (Radon Nikodym Property or RNP).