Open AccessA generation method for completely monotone functions
Author(s) -
Julije Jakšetić
Publication year - 2019
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm181210040j
Subject(s) - mathematics , monotone polygon , monotonic function , cauchy distribution , construct (python library) , bernstein's theorem on monotone functions , pure mathematics , strongly monotone , value (mathematics) , type (biology) , discrete mathematics , mathematical analysis , statistics , computer science , ecology , geometry , biology , programming language
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.