Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ON THE INTEGRALS OF RIEMANN-LEBESGUE TYPE
CHANG-PAO CHENYU-YING CHEN
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1997 Volume 49 Issue 3 Pages 347-353

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Abstract

In this paper, a theorem on the integrals of Riemann-Lebesgue type is established. It not only generalizes Theorem II.7.1 in Widder's book, but also gives a unified version of Young's test, Dirichlet-Jordan test, de la Vallee-Poussin test, and Dini's test.

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