Author(s)

Arcady Ponosov¹, Anna Machina², Valeria Tafintseva¹

¹Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway.
²Department of Mathematics and Statistics, University of Victoria, Victoria, Canada.

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.

Power-Law Representations, Piecewise Nonlinear Approximations, Least-Squares Minimization, Mean-Square and Uniform Convergence

Ponosov, A. , Machina, A. and Tafintseva, V. (2016) Convergence Properties of Piecewise Power Approximations. Applied Mathematics, 7, 1440-1445. doi: 10.4236/am.2016.713124.