On the Approximation of the Stretched Exponential Function

Coefficients of the best uniform approximation of f(x) = exp(-x^{b}) by exponential sums
S_{n}(x)=w_{1}e^{-lambda1x} + ... + w_{n}e^{-lambdanx} :

Unconstrained: b = 0.50 / b = 0.68

With interpolation condition S_{n}(0)=1 : b = 0.30 /
b = 0.50 / b = 0.60 /
b = 0.68

With interpolation condition S_{n}(0)=1, b=0.1 ... 0.9 :
n = 2 / n = 3 /
n = 4
/ n = 5 / n = 6

Approximate Solution of the Eigenvalue Problem of the Laplace Operator on Nearly Cylindrical Domains

Previous Versions:

Tables of some Indefinite Integrals of Bessel Functions - 2015/1

Tables of some Indefinite Integrals of Bessel Functions - 2015/2

New Version:

Tables of some Indefinite Integrals of Bessel Functions - 2016/1