Properties of some functionals associated with \(h\)-concave and quasilinear functions with applications to inequalities

DOI10.1186/1029-242X-2014-30zbMath1338.46082WikidataQ59319345 ScholiaQ59319345MaRDI QIDQ257711

Sanja Varošanec, Ljudmila I. Nikolova

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

quasilinearity\(h\)-concave functionChebyshev functionalJensen functionalmonotone function

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On existence result of a class of nonlinear integral equation

Cites Work

• Quasilinearity of some functionals associated with monotonic convex functions
• On \(h\)-convexity
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• Convex functions, partial orderings, and statistical applications
• Some remarks on \(s\)-convex functions
• Properties of some functionals related to Jensen's inequality
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Superadditivity inequalities
• On some properties of Jensen-Mercer's functional
• QUASILINEARITY OF SOME COMPOSITE FUNCTIONALS WITH APPLICATIONS
• Bounds for the normalised Jensen functional
• INEQUALITIES FOR SUPERADDITIVE FUNCTIONALS WITH APPLICATIONS
• On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
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