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Generalized fraction rules for monotonicity with higher antiderivatives and derivatives
Vasiliki Bitsouni, Nikolaos Gialelis, Dan-Stefan Marinescu
We first introduce the generic versions of the fraction rules for monotonicity, i.e. the one that involves integrals known as the Gromov theorem and the other that involves derivat…
An inequality for completely monotone functions
Vasiliki Bitsouni, Nikolaos Gialelis, Dan-Stefan Marinescu
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result,…
A note on the multivariate generalization of a basic simple inequality
Vasiliki Bitsouni, Nikolaos Gialelis
We introduce the multivariate analogue of the well known inequality , for an abstract non negative real number . The result emerges from the study of the b…