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An extension of the integral test

Authors:	Ana Lí a Durá n Ricardo Estrada

Affiliation:	Escuela de Matemática, Universidad de Costa Rica, 2060 San José, Costa Rica ; Escuela de Matemática, Universidad de Costa Rica, 2060 San José, Costa Rica

Abstract:	We identify a class of functions for which an extension of the well known integral test holds, namely, the series $sum _{k=1}^{infty }phi (k)$ is Cesàro summable if and only if the integral $int _{1}^{infty }phi (x),dx$ is. We also give the corresponding multidimensional results.

Keywords:	Integral series summability

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