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Convergence Properties of Piecewise Power Approximations
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway
Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway
- 1 Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway
- 2 Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
- 3 Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway
Applied Mathematics·Volume 07 (2016)·Pages 1440–1445·Published 4 August 2016·DOI10.4236/am.2016.713124
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Abstract
We address the problem of convergence of approximations obtained from two versions of the piecewise power-law representations arisen in Systems Biology. The most important cases of mean-square and uniform convergence are studied in detail. Advantages and drawbacks of the representations as well as properties of both kinds of convergence are discussed. Numerical approximation algorithms related to piecewise power-law representations are described in Appendix.
KeywordsPower-Law RepresentationsPiecewise Nonlinear ApproximationsLeast-Squares MinimizationMean-Square and Uniform Convergence
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