SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES

DOI10.4134/JKMS.2008.45.2.513zbMath1158.26308OpenAlexW2053513467MaRDI QIDQ3513992

S. Banić, Josip E. Pečarić, Sanja Varošanec

Publication date: 21 July 2008

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2008.45.2.513

zbMATH Keywords

convex functionJensen's inequalityHermite-Hadamard's inequalitysuperquadratic functionGiaccardi's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

On \(h\)-superquadratic functions ⋮ Refinements of some classical inequalities via superquadraticity ⋮ New Applications of Superquadracity ⋮ Further numerical radius inequalities ⋮ A variant of the Jensen-Mercer operator inequality for superquadratic functions ⋮ On superquadratic and logarithmically superquadratic functions ⋮ Hermite-Hadamard type inequalities for superquadratic functions via fractional integrals ⋮ Fejer and Hermite-Hadamard type inequalities for superquadratic functions ⋮ Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces ⋮ Regularity of weakly subquadratic functions ⋮ Generalized convex functions on normal decomposition systems ⋮ Fejér and Hermite-Hadamard type results for \(H\)-invex functions with applications ⋮ Superquadratic functions in information theory

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