Results 261 to 270 of about 331,846 (302)

OnQ-order andR-order of convergence

Journal of Optimization Theory and Applications, 1989
We give sufficient conditions for a sequence to have the Q-order and/or the R-order of convergence greater than one. If an additional condition is satisfied, then the sequence has an exact Q-order of convergence. We show that our results are sharp and we compare them with older results.
F A Potra, Potra F A
exaly   +2 more sources

On Order Convergence of Nets

Positivity, 2005
The article is a joint paper of the author and the late Professor Yuri Abramovich (1945--2003). It contains mainly a few short but nice methodological remarks about slight inaccuracies in defining order convergent nets. The author proves that these inaccuracies are immaterial for positive linear operators in Riesz spaces.
Yuri Abramovich, Gleb Sirotkin
exaly   +3 more sources

Order convergence and convergence almost everywhere revisited [PDF]

open access: yes, 2010
In Analysis two modes of non-topological convergence are interesting: order convergence and convergence almost everywhere. It is proved here that oder convergence of sequences can be induced by a limit structure, even a finest one, whenever it is considered in sigma-distributive lattices.
Preuß, Gerhard
openaire   +2 more sources

Concerning Order of Convergence for Subdivision

Numerical Algorithms, 2004
The paper deals with order of \(C\)-convergence for subdivision algorithms. The usual definition of \(C\)-convergence leads to approximation properties of the so-called Schoenberg operator, subject that stability of the generators of the underlying shift invariant space assumed. However, this approach does not lead to a satisfying order result for many
CONTI, COSTANZA, K. JETTER
openaire   +2 more sources

Absolute Convergence in Ordered Fields

The American Mathematical Monthly, 2014
We explore the distinction between convergence and absolute convergence of se- ries in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
Pete L. Clark, Niels J. Diepeveen
openaire   +1 more source

A Compactification for Convergence Ordered Spaces

Canadian Mathematical Bulletin, 1984
AbstractCompactifications are constructed for convergence ordered spaces and topological ordered spaces with extension properties that resemble those of the Stone-Čech compactification.
Kent, D. C., Richardson, G. D.
openaire   +3 more sources

On the order of convergence of Adomian method

Applied Mathematics and Computation, 2002
The authors consider an approximate solution of the equation \(y-N(y)=f\) where \(N\) is a nonlinear operator from a Hilbert space onto itself. They state (without proof) that the Adomian decomposition method for the above equation is equivalent to solving the equation \(S=N(y_0+S)\) by iteration, \(S_{n+1}=N(y_0+S_n)\), and obtain the order of ...
Esmail Babolian, Jafar Biazar
openaire   +1 more source

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