DocumentCode
445747
Title
On properly convergent numerical sequences
Author
Sukhotin, A.M.
Author_Institution
Tomsk Polytech. Univ., Russia
Volume
2
fYear
2004
fDate
26 June-3 July 2004
Firstpage
175
Abstract
The concept of both a properly convergent numerical sequences and infinitely large numbers is introduced. The properties of such sequences are researched. It has allowed to prove an existence of one class of the trivial incorrect tasks. The existence of infinitely large Cauchy sequences is proved. The proved statements are illustrated by examples, in particular, it is shown that harmonic series properly converges.
Keywords
convergence of numerical methods; harmonic analysis; initial value problems; sequences; series (mathematics); convergent numerical sequences; harmonic series; infinitely large Cauchy sequences; infinitely large numbers; Convergence of numerical methods; Equations; Personal communication networks; Virtual colonoscopy;
fLanguage
English
Publisher
ieee
Conference_Titel
Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
Print_ISBN
0-7803-8383-4
Type
conf
DOI
10.1109/KORUS.2004.1555583
Filename
1555583
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