Derivates of Interval Functions

by Thomson, Brian S.

• ISBN13: 9780821825037
• ISBN10: 0821825038
• Format: Paperback
• Copyright: 1991-11-01
• Publisher: Amer Mathematical Society
• More Book Details

Summary

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

Table of Contents

Covering relations; The variation; Derivates; Absolute continuity and singularity; Measures; Real functions.

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