Convergence Properties of Piecewise Power Approximations  

作　　者：Arcady Ponosov Anna Machina Valeria Tafintseva Arcady Ponosov;Anna Machina;Valeria Tafintseva(Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway;Department of Mathematics and Statistics, University of Victoria, Victoria, Canada)

机构地区：[1]Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Å s, Norway [2]Department of Mathematics and Statistics, University of Victoria, Victoria, Canada

出　　处：《Applied Mathematics》2016年第13期1440-1445,共16页应用数学（英文）

摘　　要：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.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.

关 键 词：Power-Law Representations Piecewise Nonlinear Approximations Least-Squares Minimization Mean-Square and Uniform Convergence 

分 类 号：O17[理学—数学]