On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers

Chryssoula Ganatsiou () and Ilias K. Savvas ()
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Chryssoula Ganatsiou: University of Thessaly, Gaiopolis
Ilias K. Savvas: University of Thessaly, Gaiopolis

A chapter in Exploring Mathematical Analysis, Approximation Theory, and Optimization, 2023, pp 85-100 from Springer

Abstract: Abstract By considering a general alternating series algorithm introduced by A. and J. Knopfmacher according to which every real number may be expressed by alternating series representations in terms of rationals we present some important results arising from the application of ergodic theory to an alternating series expansion for real numbers in terms of rationals generating from another algorithm called alternating Sylvester-Engel-Lüroth series expansion (alternating SEL series expansion) which gives generalized versions of the corresponding three alternating series expansions constructing from the general alternating series algorithm of A. and J. Knopfmacher.

Keywords: 11K55; 37A25; 37A30; 37A50; 37A10; 60A10 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-46487-4_6

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DOI: 10.1007/978-3-031-46487-4_6

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