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A generation method for completely monotone functions

Jakšetić Julije (University of Zagreb, Faculty of Food Technology and Biotechnology, Section for Mathematics, Zagreb, Croatia)

In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.

Keywords: Bernstein functions, completely monotone functions, exponentially convex functions, n-convex function, special functions, Laplace transform