Journal article
A Note on Q-order of Convergence
Bit Numerical Mathematics, Vol.41(2), pp.422-429
03/2001
DOI: 10.1023/A:1021902825707
Abstract
To complement the property of Q-order of convergence we introduce the notions of Q-superorder and Q-suborder of convergence. A new definition of exact Q-order of convergence given in this note generalizes one given by Potra. The definitions of exact Q-superorder and exact Q-suborder of convergence are also introduced. These concepts allow the characterization of any sequence converging with Q-order (at least) 1 by showing the existence of a unique real number q ∈ [1,+∞] such that either exact Q-order, exact Q-superorder, or exact Q-suborder q of convergence holds.
Details
- Title: Subtitle
- A Note on Q-order of Convergence
- Creators
- L Jay - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Bit Numerical Mathematics, Vol.41(2), pp.422-429
- DOI
- 10.1023/A:1021902825707
- ISSN
- 0006-3835
- eISSN
- 1572-9125
- Publisher
- Kluwer Academic Publishers
- Language
- English
- Date published
- 03/2001
- Academic Unit
- Mathematics
- Record Identifier
- 9984241148002771
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