Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity

DOI10.7153/jmi-2018-12-57zbMath1403.26017OpenAlexW2893656480WikidataQ129202144 ScholiaQ129202144MaRDI QIDQ4561061

Shoshana Abramovich

Publication date: 10 December 2018

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

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-57

zbMATH Keywords

convexitysuperquadracityJensen functionals\(\gamma\)-quasiconvexity1-quasiconvexity

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (1)

Convexity Variants and Fejer Inequalities with General Weight

Cites Work

• Unnamed Item
• A complete refinement of Young's inequality
• Advanced refinements of Young and Heinz inequalities
• Operator inequalities involving improved Young and its reverse inequalities
• Improved Young and Heinz inequalities for matrices
• Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities derived through N-quasiconvexity
• Bounds for the normalised Jensen functional
• On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
• Improved Jensen's inequality
• Normalized Jensen Functional, Superquadracity and Related Inequalities
• Convex functions and their applications. A contemporary approach

This page was built for publication: Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity