This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems arising in science and engineering requiring an optimal mathematical representation of physical reality. Three different constructive methods are applicable to all four categories of shape-preserving approximation by polynomials and thus serve as ‘red lines’ for the book: Bernstein-type, Shisha-type, and convolution-type. Containing many open problems at the end of each chapter to spur future research as well as a rich and updated bibliography surveying the vast literature, the text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering. First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting,chemistry, fluid mechanics, and engineering. Contains many open problems to spur future research INDICE: Preface.- Shape Preserving Approximation by Real Univariate Polynomials.- Shape Preserving Approximation by Real Multivariate Polynomials.- Shape Preserving Approximation by Complex Univariate Polynomials.- Shape Preserving Approximation by Real Multivariate Polynomials.- Appendix: Some Related Topics.- References.- Index.
- ISBN: 978-0-8176-4702-5
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 340
- Fecha Publicación: 01/04/2008
- Nº Volúmenes: 1
- Idioma: Inglés