Title

An extension of the integral test

Document Type

Article

Publication Date

1-1-1999

Abstract

We identify a class of functions for which an extension of the well known integral test holds, namely, the series ∑k=1∝φ(k)Cesàro summable if and only if the integral ∫1∝ φ(x) dx is. We also give the corresponding multidimensional results. ©1999 American Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

1745

Last Page

1751

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