On the refinements of the integral Jensen-Steffensen inequality

DOI10.1186/1029-242X-2013-20zbMath1282.26032OpenAlexW2153208782WikidataQ59294567 ScholiaQ59294567MaRDI QIDQ389155

Sadia Khalid, Josip Peǎrić

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-20

zbMATH Keywords

convex functiondivided differencemean value theoremslogarithmic convexity\(n\)-exponential convexityJensen-Steffensen weighted integral inequality

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (6)

Unnamed Item ⋮ New improvements of Jensen's type inequalities via 4-convex functions with applications ⋮ Some inequalities involving \(k\)-gamma and \(k\)-beta functions with applications ⋮ Exponential convexity for Jensen's inequality for norms ⋮ Jessen type functionals and exponential convexity ⋮ Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence

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