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Derivates of Interval Functions
Brian S. Thomson
出版
American Mathematical Soc.
, 1991
主題
Mathematics / Calculus
Mathematics / Functional Analysis
ISBN
0821825038
9780821825037
URL
http://books.google.com.hk/books?id=tG3UCQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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