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
Recommended Citation
Durän, A., & Estrada, R. (1999). An extension of the integral test. Proceedings of the American Mathematical Society, 127 (6), 1745-1751. https://doi.org/10.1090/s0002-9939-99-04911-4
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