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TheJ-Differential and its Integral

Published online by Cambridge University Press:  20 January 2009

W. H. Ingram
Affiliation:
150 Claremont Avenue, New York 27
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We consider the possibility of generalising the statement

to the case

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1960

References

REFERENCES

(1)Hildebrandt, T. H., Definitions of Stieltjes integrals of the Riemann type, Am. Math. Monthly, 45 (1938), 265278.Google Scholar
(2)Moore, E. H., Definitions of limit in general integral analysis, Proc. Nat. Acad. Sc, 1 (1915), 628632.CrossRefGoogle ScholarPubMed
(3)Moore, E. H. and Smith, H. L., A general theory of limits, Am. Journ. Math., 44 (1922), 102121.CrossRefGoogle Scholar
(4)Pollard, S., The Stieltjes integral and its generalisations, Quarterly Journal of Pure and Applied Mathematics, 49, 1920, 73138.Google Scholar
(5)Price, G. B., Cauchy-Stieltjes and Riemann-Stieltjes integrals, Bull. Am. Math. Soc, 49 (1943), 381425.CrossRefGoogle Scholar