An inequality for completely monotone functions

TL;DR

This paper introduces a new inequality linking completely monotone functions with divided differences, generalizing a recent related result, and expanding the theoretical understanding of these mathematical concepts.

Contribution

It presents a novel inequality that combines completely monotone functions with divided differences, extending previous work by the authors.

Findings

Established a new inequality involving completely monotone functions.

Generalized a recent mathematical result.

Enhanced theoretical framework for monotone functions.

Abstract

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, recently introduced by two of the present authors.