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A Generalized Integral II

Published online by Cambridge University Press:  20 November 2018

R. D. James
R. D. James*
Affiliation:
The University of British Columbia
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The definition and some of the properties of what may be called a Perron second integral (P2-integral) were given in a previous paper [4]. This integral starts with a function f(x) defined in an interval (a, c) and goes directly to a second primitive F(x) with the property that the generalized second derivative D2F is equal to f(x) for almost all x in (a, c). In the present paper the definition is changed slightly and further properties are deduced.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 297 - 306
Copyright
Copyright © Canadian Mathematical Society 1950

References

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