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A Banach space of functions of generalized variation

Published online by Cambridge University Press:  17 April 2009

A.M. Russell
A.M. Russell
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria.
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Abstract

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In this note we show that BVk, [a, b], the linear space of functions of bounded kth variation on [a, b], is a Banach space under the norm ‖ • ‖k, where

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 431 - 438
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Russell, A.M., “Functions of bounded kth variation”, Proc. London Math. Soc. (3) 26 (1973), 547–563.CrossRefGoogle Scholar