Reverses of the Jensen-type inequalities for signed measures
type: Item
instance of: scholarly article
title: Reverses of the Jensen-type inequalities for signed measures
zbMATH Open document ID: 1474.26111
DOI: 10.1155/2014/626359
author: Rozarija Jakšić
author: M. Rodić Lipanović
author: J. Pečarić
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure \(d \lambda\), not necessarily positive, which are generalizations of Jensen's inequality and its reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A42
zbMATH DE Number: 7022762
Wikidata QID: Q59040138
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/626359
OpenAlex ID: W2026541729
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description: scientific article; zbMATH DE number 7022762