An extension of the integral test

Authors

Ana Lia Durän, Universidad de Costa Rica
Ricardo Estrada, Universidad de Costa Rica

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