On the Jensen's inequality and its variants

DOI10.3934/math.2020081zbMath1484.26069OpenAlexW2999158132MaRDI QIDQ2132864

Mohammad Sadegh Asgari, Elahe Jaafari, Baharak Moosavi, Mohsen Shah Hosseini

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020081

zbMATH Keywords

convex functionself-adjoint operatorpositive operatorJensen inequalitypositive linear map

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

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Cites Work

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• On the converse Jensen inequality
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Around Jensen's inequality for strongly convex functions
• Some new Karamata type inequalities and their applications to some entropies
• An extension of Jensen's operator inequality and its application to Young inequality
• Eigenvalue extensions of Bohr's inequality
• Cyclic Refinements of the Different Versions of Operator Jensen's Inequality
• Jensen's operator inequality and its converses
• Choi-Davis-Jensen's inequality without convexity

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