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On Characterizing Classes of Functions in Terms of Associated Sets

Published online by Cambridge University Press:  20 November 2018

A. M. Bruckner
A. M. Bruckner*
Affiliation:
University of California, Santa Barbara
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Let κ be a class of real valued functions defined on an interval which need not be bounded. The class κ is said to be characterized in terms of associated sets if there exists a family of sets of real numbers P such that f ∈ κ if and only if for every real number α the sets a remembers of P. Many classes of functions have been characterized in terms of associated sets. The chart below summarizes a few such characterizations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 2 , June 1967 , pp. 227 - 231
Copyright
Copyright © Canadian Mathematical Society 1967

References

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