%0 Journal Article
%T Positive bi-exponential interpolation
%A Josef Bukac
%J Journal of Interpolation and Approximation in Scientific Computing
%D 2013
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2013/jiasc-00010
%X A function $bexp(cx)+dexp(fx)$ is called positive bi-exponential if $b>0, d>0,$ and $c e f.$ A positive bi-exponential function interpolates a function at equidistant nodes if and only if the function is strictly log-convex. A positive bi-exponential function is itself strictly log-convex. The sum of two not necessarily strictly log-convex functions is strictly log-convex if their derivatives are distinct.
%K "">exponential
%K log-convexity
%K midpoint
%K sum"/>
%U http://www.ispacs.com/journals/jiasc/2013/jiasc-00010/article.pdf