Improvements of Jensen-type inequalities for diamond-\(\alpha\) integrals
type: Item
instance of: scholarly article
title: Improvements of Jensen-type inequalities for diamond-\(\alpha\) integrals
zbMATH Open document ID: 1490.26023
DOI: 10.1155/2014/580605
author: Rabia Bibi
author: M. Rodić Lipanović
author: J. Pečarić
published in: International Scholarly Research Notices. Mathematical Analysis
publication date: 2019-02-21T00:00:00Z
review text: Summary: We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left-hand side and the right-hand side of these inequalities and present several families of functions for which these results can be applied.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7027199
Wikidata QID: Q36979270
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/580605
OpenAlex ID: W2141384130
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description: scientific article; zbMATH DE number 7027199