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Summability Methods Definedby Riemann Sums

Published online by Cambridge University Press:  20 November 2018

J. D. Hill*
Affiliation:
Michigan State College
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Let f(x) be real valued, bounded and, integrable in the sense of Riemann on the interval X = (0 < x < 1), with the value of its integral over X equal to one. For brevity we call such a function admissible.The symbol Xnk will always denote the interval an arbitrarily chosen point of Xnk and δ any specified set of intermediate points

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1953

References

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