On the Pringsheim rearrangement theorems

Marion Scheepers

doi:10.1006/jmaa.2001.7520

On the Pringsheim rearrangement theorems

Marion Scheepers

Mathematics Department

Research output: Contribution to journal › Article › peer-review

Abstract

We show that requiring that the set of positions of the positive terms in a conditionally convergent numerical series have asymptotic density provides converses for old rearrangement theorems of Alfred Pringsheim.

Original language	English
Pages (from-to)	418-433
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	267
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.2001.7520
State	Published - 15 Mar 2002

Keywords

Asymptotic density
Rearrangements

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10.1006/jmaa.2001.7520

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title = "On the Pringsheim rearrangement theorems",

abstract = "We show that requiring that the set of positions of the positive terms in a conditionally convergent numerical series have asymptotic density provides converses for old rearrangement theorems of Alfred Pringsheim.",

keywords = "Asymptotic density, Rearrangements",

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language = "English",

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AB - We show that requiring that the set of positions of the positive terms in a conditionally convergent numerical series have asymptotic density provides converses for old rearrangement theorems of Alfred Pringsheim.

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VL - 267

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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On the Pringsheim rearrangement theorems

Abstract

Keywords

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