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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The obtained results are also compared with some related results, known from the literature.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions.
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Key Findings & Data:First we give two series of converses in a general setting.
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Conclusion & Impact:The obtained results are also compared with some related results, known from the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Jensen operator inequality · Lah-Ribarič operator inequality · con- vexity
Abstract
In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions. First we give two series of converses in a general setting. The general results are then applied to quasi-arithmetic operator means with a particular emphasis to power operator means. The obtained results are also compared with some related results, known from the literature.
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Cite This Article
JAKŠİĆ, R., KRNİĆ, M., PEČARİĆ, J. (2022). On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1045–1055. https://ajindex.com/articles/530288