TITLE:
Convergence Properties of Piecewise Power Approximations
AUTHORS:
Arcady Ponosov, Anna Machina, Valeria Tafintseva
KEYWORDS:
Power-Law Representations, Piecewise Nonlinear Approximations, Least-Squares Minimization, Mean-Square and Uniform Convergence
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.13,
August
11,
2016
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.