New Bounds for the Jensen-Dragomir Functional with Applications in Analysis

The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensens i...

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Bibliographic Details
Published inJournal of the Indian Mathematical Society pp. 175 - 185
Main Authors Sayyari, Yamin, Dehghanian, Mehdi, Barsam, Hasan
Format Journal Article
LanguageEnglish
Published 24.03.2023
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ISSN0019-5839
2455-6475
DOI10.18311/jims/2023/28699

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Summary:The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensens inequality which is then applied to analysis and information theory.
ISSN:0019-5839
2455-6475
DOI:10.18311/jims/2023/28699