Refinements of Jensen-Mercer's inequality for index set functions with applications

Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequalities among various means of Mercer's type, and they are further generalized for linear functionals.

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Bibliographic Details
Published inJournal of numerical analysis and approximation theory Vol. 35; no. 1
Main Authors Anita Matković, Josip Pečarić
Format Journal Article
LanguageEnglish
Published Publishing House of the Romanian Academy 01.02.2006
Subjects
index set function
Jensen-Mercer's inequality
means of Mercer's type
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Summary:Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequalities among various means of Mercer's type, and they are further generalized for linear functionals.
ISSN:2457-6794
2501-059X
DOI:10.33993/jnaat351-1013