Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 5

On some new converses of the Jensen and the Lah-Ribarič operator inequality

Sayfa
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Yayın Tarihi
2015-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The obtained results are also compared with some related results, known from the literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions.
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Temel Bulgular & Veri:First we give two series of converses in a general setting.
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Sonuç & Katkı:The obtained results are also compared with some related results, known from the literature.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Jakšić, R., Krnić, M., Pečarić, J. (2015). On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 5. https://ajindex.com/articles/1403235

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