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Journal of Computational Analysis and Applications Volume 1 Issue 1

Subject Areas: Computational Mathematics
Publisher: Kluwer Academic Publishers-Plenum Publishers - Springer Journals
ISSN: 1521-1398
SJR: 31

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Journal Article

Introductory Statement

Anastassiou, George

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022663618426
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Journal Article

Some Shift-Invariant Integral Operators, Univariate Case, Revisited

Anastassiou, George; Gal, Sorin

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022662402497

In recent articles the first author and H. Gonska [e.g., see G. Anastassiou, C. Cottin, and H. Gonska, Global smoothness of approximating functions, Analysis, 11, 43–57 (1991); G. Anastassiou and H. Gonska, On some shift-invariant integral operators, univariate case, Ann. Pol. Math. LXI.3,...
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Journal Article

Periodic Wavelets from Scratch

Walter, Gilbert; Cai, Luchuan

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022614519335

Periodic wavelets can be constructed from most standard wavelets by periodization. In this work we first derive some of their properties and then construct the periodic wavelets directly from their Fourier series without reference to standard wavelets. Several examples are given some of which are...
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Journal Article

Best Fourier Approximation and Application in Efficient Blurred Signal Reconstruction

Efromovich, Sam; Ganzburg, Michael

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022666503405

We expand upon the known results on sharp linear Fourier methods of approximation where the approximation is the best in terms of both rate and constant among all polynomial procedures of approximation. So far these results have been studied due to their mathematical beauty rather than their...
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Journal Article

Metrization of Epi-Convergence: An Application to the Strong Consistency of M-Estimators

Dall'Aglio, Marco; Rachev, Svetlozar

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022618620244

Strong consistency in the class of M-estimators is examined here as an application of epi-convergence, a functional convergence which is particularly suited for the study of convergence of the functions' minimizing values and arguments. Starting from a 1988 paper by J. Dupačova and R. Wets, which...
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Convergence Domains for Some Iterative Processes in Banach Spaces Using Outer or Generalized Inverses

Argyros, Ioannis

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022670604314

We provide a semilocal Ptak–Kantorovich-type analysis for inexact Newton-like methods using outer and generalized inverses to approximate a locally unique solution of an equation in a Banach space containing a nondifferentiable term. We use Banach-type lemmas and perturbation bounds for outer as...
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Ewald's Method Revisited: Rapidly Convergent Series Representations of Certain Green's Functions

Papanicolaou, Vassilis

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022622721152

We propose a justification of Ewald's method of obtaining rapidly convergent series for the Green's function of the 3-dimensional Helmholtz equation. Our point of view enables us to extend the method to Green's functions for the Helmholtz equation in certain domains of ℝ d with quite general...
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A Note on Some Inequalities for Finite Sums and an Application to Entropies of Probability Distributions

Jardas, Cvetan; Pečarić, Josip; Roki, Rajko; Sarapa, Nikola

2004 Journal of Computational Analysis and Applications

doi:10.1023/A:1022674705222

In this paper we prove some inequalities for finite sums with positive terms. As a consequence of these results we obtain an inequality for entropies of discrete probability distributions.

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