Derivates of Interval Functions

· American Mathematical Society: Memoirs of the American Mathematical Society Book 452 · American Mathematical Soc.
Ebook
96
Pages
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About this ebook

In the study of the derivation properties of interval functions, there are certain arguments that reappear in many settings. In this book, the author seeks to present a unified approach to some of these techniques. The motivation grows out of the interesting and important study of Rogers and Taylor characterizing those interval functions which are, in a sense, absolutely continuous with respect to the 8-dimensional Hausdorff measure. This problem leads naturally to an investigation of Lipschitz numbers Ds(f,x) = lim sup y,z ?x,y

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