Approximation by short exponential sums with geometric error decay based on Gauss quadrature

Gerlind Plonka, Yannick Riebe, Annie Cuyt

We present new short exponential sum approximations of length $N$ for $f_1(x)=\frac{1}{a+x}$ with $a>0$ on $[0,\infty )$ and for $f_2(x)={\mathrm{e}}^{-x^2/2\ddot{I}ƒ}$ with $\ddot{I}ƒ>0$ on ${\…