Improvement of Jensen-Steffensen's inequality for superquadratic functions

DOI10.15352/bjma/1272374678zbMath1195.26037OpenAlexW2034199598MaRDI QIDQ967173

S. Ivelić, Shoshana Abramovich, Josip E. Pečarić

Publication date: 27 April 2010

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226463

zbMATH Keywords

convex functionsuperquadratic functionJensen-Steffensen's inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities for sums, series and integrals (26D15)

Related Items (11)

On \(h\)-superquadratic functions ⋮ New Applications of Superquadracity ⋮ Improvements of trace inequalities for convex functions ⋮ New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ Refinements of the lower bounds of the Jensen functional ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Operator Jensen inequality for superquadratic functions ⋮ A note on the positivity of the even degree complete homogeneous symmetric polynomials ⋮ Inequalities involving superquadratic functions and operators ⋮ Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces

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