BIT Numerical Mathematics

, Volume 41, Issue 2, pp 422–429 | Cite as

A Note on Q-order of Convergence

  • L. O. Jay

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.

Convergence metric space Q-order sequences 

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Copyright information

© Swets & Zeitlinger 2001

Authors and Affiliations

  • L. O. Jay
    • 1
  1. 1.Department of MathematicsThe University of IowaIowa CityUSA

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