The error in an alternating series

2015/11/27 by Mark B. Villarino, Villarino, Mark B.
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1511.08568

arxiv created 2015/11/27 · arxiv updated 2015/11/30

Abstract

We give a new proof of Johnsonbaugh's refined error estimates of an alternating series based on an idea of R. M. Young. We also give a new proof of the error estimate and convergence of the Euler transform.

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