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On Half Cauchy Sequences

2011/02/23 by Frank J. Palladino, Palladino, Frank J.
Mathematics · #40A05 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:40A05

paper · pdf · doi:10.48550/arxiv.1102.4641

arxiv created 2011/02/23 · openalex publication_date 2011/02/23 · arxiv updated 2011/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we introduce and define half Cauchy sequences. We prove that a sequence of real numbers is convergent if and only if it is bounded and half Cauchy. We also provide an example of how the concept may be used.

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