Some new Karamata type inequalities and their applications to some entropies

DOI10.1016/S0034-4877(19)30083-7zbMath1441.47020arXiv1811.07277OpenAlexW2986204528MaRDI QIDQ2194267

Akram Zardadi, Hamid Reza Moradi, Shigeru Furuichi

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07277

zbMATH Keywords

Jensen's inequalityconvex functionsinformation inequalityKaramata's inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

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Cites Work

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• Zur Theorie der elementaren Mittel
• Trace inequalities in nonextensive statistical mechanics
• Inequalities for relative operator entropies and operator means
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• Fundamental properties of Tsallis relative entropy
• A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
• Elements of Information Theory
• Inequalities: theory of majorization and its applications

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