Mathematics – Numerical Analysis
Scientific paper
2009-01-03
a version published in "Scientific Support for the Decision Making in the Security Sector" Edited by Ognyan Kounchev, Rene Wil
Mathematics
Numerical Analysis
36 pages, conference proceedings
Scientific paper
Unlike the classical polynomial case there has not been invented up to very recently a tool similar to the Bernstein-Bezier representation which would allow us to control the behavior of the exponential polynomials. The exponential analog to the classical Bernstein polynomials has been introduced in a recent authors' paper which appeared in Constructive Approximations, and this analog retains all basic properties of the classical Bernstein polynomials. The main purpose of the present paper is to contribute in this direction, by proving some important properties of the "Bernstein exponential operator" which has been introduced. We also fix our attention upon some special type of exponential polynomials which are particularly important for the further development of theory of representation of Multivariate data.
Kounchev Ognyan
Render Hermann
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