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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Some transformations of monotone sequences


Author: Jet Wimp
Journal: Math. Comp. 26 (1972), 251-254
MSC: Primary 65B10
MathSciNet review: 0303674
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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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DOI: https://doi.org/10.1090/S0025-5718-1972-0303674-X
Keywords: Monotone sequences, summation methods, psi function
Article copyright: © Copyright 1972 American Mathematical Society