Spline Functions and Multivariate Interpolations is popular PDF and ePub book, written by Borislav D. Bojanov in 2014-03-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Spline Functions and Multivariate Interpolations can be Read Online from any device for your convenience.
Spline Functions and Multivariate Interpolations Book PDF Summary
Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have initiated a new wave of theoretical investigations and variety of applications. The purpose of this book is to introduce the reader to the theory of spline functions. The emphasis is given to some new developments, such as the general Birkoff's type interpolation, the extremal properties of the splines and their prominant role in the optimal recovery of functions, multivariate interpolation by polynomials and splines. The material presented is based on the lectures of the authors, given to the students at the University of Sofia and Yerevan University during the last 10 years. Some more elementary results are left as excercises and detailed hints are given.
Detail Book of Spline Functions and Multivariate Interpolations PDF
- Author : Borislav D. Bojanov
- Release : 14 March 2014
- Publisher : Springer
- ISBN : 9401581703
- Genre : Mathematics
- Total Page : 278 pages
- Language : English
- PDF File Size : 13,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Spline Functions and Multivariate Interpolations by Borislav D. Bojanov, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.