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On a lemma of L. Lorch and D. J. Newman

Published online by Cambridge University Press:  09 April 2009

Fred Ustina
Fred Ustina
Affiliation:
Department of Mathematics The University of AlbertaEdmonton 7, Canada
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In [6], Lorch and Newman proved the following lemma: If g(u) is continuous and of bounded variation, 0 ≦ u ≦ 1, then (1). This was extended more recently by Leviatan and Lorch ([5], Lemma 3) to functions which are of bounded variation on the positive real axis, where non the upper limit of integration on the inner integral is infinite.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 78 - 85
Copyright
Copyright © Australian Mathematical Society 1973

References

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