Improved Jensen-type inequalities via quadratic interpolation and applications

DOI10.7153/JMI-2022-16-56zbMath1505.26039OpenAlexW4285297866MaRDI QIDQ5093927

Thai Thuan Quang, Doan Thi Thuy Van, Duong Quoc Huy

Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-56

zbMATH Keywords

positive operatorJensen inequalityquadratic interpolationYoung inequalityHeinz inequality

Mathematics Subject Classification ID

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

Cites Work

• A complete refinement of Young's inequality
• Multiple-term refinements of Young type inequalities
• Operator inequalities involving improved Young and its reverse inequalities
• Improved Young and Heinz inequalities for matrices
• Improved Young and Heinz inequalities with the Kantorovich constant
• Refined Heinz operator inequalities
• Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities
• Reverse Young and Heinz inequalities for matrices
• Bounds for the normalised Jensen functional
• Improved Jensen-type inequalities via linear interpolation and applications

This page was built for publication: Improved Jensen-type inequalities via quadratic interpolation and applications