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The Pn -Integral

Published online by Cambridge University Press:  20 November 2018

George Cross
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In the definition of the Pn -integral [2] there is a difficulty with the condition Bn-2 ([2], p. 150) since it is not linear on the set of major and minor functions. As a result, the proof of Lemma 5.1 [2] fails since the difference Q(x)—q(x) need not satisfy the conditions of Theorem 4.2, [2].

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 493 - 497
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Bullen, P. S., A Criterion for n-Convexity, Pacific J. Math. 36 (1971), p. 81–98.Google Scholar
2. James, R. D., Generalized nth Primitives, Trans. Amer. Math. Soc. 76 (1954), p. 149–176.Google Scholar
3. James, R. D., Summable Trigonometric Series, Pacific J. Math. 6 (1956), p. 99–110.Google Scholar