SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of RationalsReport as inadecuate




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International Journal of Mathematics and Mathematical SciencesVolume 2014 2014, Article ID 654319, 8 pages

Research Article

Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand

Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand

Received 13 January 2014; Accepted 13 April 2014; Published 4 May 2014

Academic Editor: Heinz Peter Gumm

Copyright © 2014 Patiwat Singthongla and Narakorn Rompurk Kanasri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is also constructed.





Author: Patiwat Singthongla and Narakorn Rompurk Kanasri

Source: https://www.hindawi.com/



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