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Two Convergence Problems for Monotone Sequences
Authors:Rong Zhang  Li Wang
Institution:(1) Department of Applied Mathematics, Beijing Polytechnic University, Beijing, 100022, P.R. China
Abstract:Eight measures of rate of convergence of monotone sequences of real numbers have been proposed and discussed in a paper by Beyer, Ebanks, and Qualls (Acta Appl. Math. 20 (1990), 267–284). These rates arose in discussions of dynamical systems. In the comparisons of these rates, two problems remained. A complete answer is given to one of the problems and a partial answer is given to the other problem.
Keywords:convergence  convergence rate  convergence order  sequences
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