vix.ing · top · new · best · stats · spec

The Error in an Alternating Series

2018/03/01 by Mark B. Villarino · 1 citation
Economics, Econometrics and Finance · Mathematics · #Mathematical functions and polynomials #Stochastic processes and financial applications

paper · doi:10.1080/00029890.2017.1416875

openalex publication_date 2018/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new proof of Johnsonbaugh’s estimates for the error in an alternating series based on an idea of R. M. Young. We also use this same idea to prove the convergence of the Euler transform and a corresponding error estimate.

Cited by