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Some transformations of monotone sequences
Journal article   Open access   Peer reviewed

Some transformations of monotone sequences

Mathematics of computation, v 26(117)
01 Jan 1972
url
https://doi.org/10.1090/s0025-5718-1972-0303674-xView
Published, Version of Record (VoR)Maybe Open Access (Publisher Bronze) Open

Abstract

In this paper, we discuss a class of methods for summing sequences which are generalizations of a method due to Salzer. The methods are not regular, and in contrast to the classical regular methods, seem to work best on sequences which are monotone. In our main theorem, we determine a class of convergent sequences for which the methods yield sequences which converge to the same sum.

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