New extensions of Popoviciu's inequality

DOI10.1007/s00009-015-0675-3zbMath1353.26007arXiv1507.05304OpenAlexW2218335631MaRDI QIDQ350187

Marcela V. Mihai, Flavia-Corina Mitroi-Symeonidis

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05304

zbMATH Keywords

convex functionPopoviciu inequalityquasi-arithmetic mean

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (3)

New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity ⋮ The Popoviciu type inequalities for s-convex functions in the third sense ⋮ New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity

Cites Work

• Relative convexity and its applications
• The Hermite-Hadamard inequality for log-convex functions
• Popoviciu's inequality for functions of several variables
• On \(h\)-convexity
• Convex functions, partial orderings, and statistical applications
• Some remarks on \(s\)-convex functions
• The weighted logarithmic mean
• Exploring the concept of \(s\)-convexity
• Generalized convexity and inequalities
• Refined convexity and special cases of the Blaschke-Santalo inequality
• Relative Schur-convexity on global NPC spaces
• The integral version of Popoviciu's inequality
• Analytic Inequalities
• Convex functions and their applications. A contemporary approach
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