Steffensen’s inequality and 𝐿¹-𝐿^{∞} estimates of weighted integrals

DOI10.1090/S0002-9939-2011-10939-0zbMath1242.26033OpenAlexW1750869905MaRDI QIDQ3116557

Patrick J. Rabier

Publication date: 24 February 2012

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10939-0

zbMATH Keywords

convexityJensen's inequalitySteffensen's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (6)

Generalized Steffensen's inequality by Lidstone interpolation and Montogomery's identity ⋮ Steffensen type inequalities for fuzzy integrals ⋮ Hermite interpolation of composition function and Steffensen-type inequalities ⋮ Generalized Steffensen's inequality by Montgomery identities and Green functions ⋮ On Rabier's result and nonbounded Montgomery's identity ⋮ Generalized Steffensen's inequality by Montgomery identity

Cites Work

• Unnamed Item
• Some improvements and generalizations of Steffensen's integral inequality
• On the Bellman generalization of Steffensen's inequality
• Convex functions, partial orderings, and statistical applications
• Extensions of Steffensen's inequality
• On a further generalization of Steffensen's inequality
• Multidimensional and discrete Steffensen inequality
• Steffensen type inequalities
• Choquet theory for signed measures
• On Inequalities with Alternating Signs
• Error terms for Steffensen's, Young's, and Chebychev's Inequalities
• Weakly Differentiable Functions
• STEFFENSEN TYPE INEQUALITIES OVER GENERAL MEASURE SPACES
• A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
• Analytic Inequalities

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