Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

DOI10.1515/auom-2016-0053zbMath1389.26023OpenAlexW2759785698MaRDI QIDQ4589698

Marjan Praljak, Asif R. Khan, Josip E. Pečarić

Publication date: 10 November 2017

Published in: Analele Universitatii "Ovidius" Constanta - Seria Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/auom-2016-0053

zbMATH Keywords

exponential convexityChebyshev functionalMontgomery identity\(n\)-convex functions\(n\)-convex functions at a point

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Related Items (4)

On a variant and extension of Gabler inequality ⋮ Weighted majorization inequalities for \(n\)-convex functions via extension of Montgomery identity using Green function ⋮ Positivity of sums and integrals for n-convex functions via the Fink identity ⋮ Uniform treatment of Jensen's inequality by Montgomery identity

This page was built for publication: Popoviciu type inequalities for n-convex functions via extension of Montgomery identity