Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities derived through N-quasiconvexity

DOI10.7153/mia-19-89zbMath1353.26019OpenAlexW2546524630MaRDI QIDQ2835413

Shoshana Abramovich

Publication date: 2 December 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-19-89

zbMATH Keywords

convex functionHölder inequalityJensen inequalitysuperquadratic functionsMinkowski inequality\(\gamma\)-quasiconvex functions\(N\)-quasiconvex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity ⋮ Convexity Variants and Fejer Inequalities with General Weight ⋮ Fejér and Hermite-Hadamard type inequalities for \(N\)-quasiconvex functions ⋮ Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity ⋮ Extensions and refinements of Fejer and Hermite-Hadamard type inequalities ⋮ New inequalities related to superquadratic functions

Cites Work

• On a refined Hölder's inequality
• Property of a Hölder-type inequality and its application
• On γ-quasiconvexity, superquadracity and two-sided reversed Jensen type inequalities
• A converse of the Hölder inequality theorem
• Some new scales of refined Jensen and Hardy type inequalities

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