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An integral representation for a generalised variation of a function

  • A.M. Russell (a1)

Abstract

In this note we present sufficient conditions for the continuity of the total kth variation of a function defined on a closed interval [a, b]. We also give an integral representation for total feth variation, thus obtaining an extension of the classical result

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References

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[1]Milne-Thomson, L.M., The calculus of finite differences (Macmillan & Co., London, 1933).
[2]Russell, A.M., “Functions of bounded kth variation”, Proc. London Math. Soc. (3) 26 (1973), 547563.
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An integral representation for a generalised variation of a function

  • A.M. Russell (a1)

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