Generalized Steffensen's inequality by Lidstone interpolation and Montogomery's identity

DOI10.1186/s13660-018-1826-4zbMath1498.26036OpenAlexW2890700322WikidataQ58745933 ScholiaQ58745933MaRDI QIDQ824769

Muhammad Imran Qureshi, Asfand Fahad, Josip E. Pečarić

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1826-4

zbMATH Keywords

convex functionGreen functionSteffensen inequalityMontogomery identity

Mathematics Subject Classification ID

Moment problems (44A60) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)

Related Items

Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional, Generalized Steffensen's inequality by Montgomery identities and Green functions, Generalized Steffensen's inequality by Montgomery identity, Refinements of some Hardy-Littlewood-Pólya type inequalities via Green's functions and Fink's identity and related results

Cites Work

• New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
• Connections among some inequalities of Gauss, Steffensen and Ostrowski
• Convex functions, partial orderings, and statistical applications
• Steffensen’s inequality and 𝐿¹-𝐿^{∞} estimates of weighted integrals
• Linear operators inequality for $n$-convex functions at a point
• Generalized Steffensen's inequality
• Completely Convex Functions and Lidstone Series
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