Superadditivity and monotonicity of some functionals associated with the Hermite-Hadamard inequality for convex functions in linear spaces

DOI10.1216/RMJ-2012-42-5-1447zbMath1257.26018OpenAlexW2023265957MaRDI QIDQ691503

Sever Silvestru Dragomir

Publication date: 3 December 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1353939089

zbMATH Keywords

convex functionsnormsmeansHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications

Cites Work

• Hermite and convexity
• Convex functions, partial orderings, and statistical applications
• Quasilinearity & Hadamard's inequality
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• Convex functions
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