Generalizations of Steffensen's inequality via the extension of Montgomery identity

DOI10.1515/MATH-2018-0039zbMath1391.26044OpenAlexW2800636765WikidataQ129969799 ScholiaQ129969799MaRDI QIDQ1644882

Andrea Aglić Aljinović, Anamarija Perušić Pribanić, Josip E. Pečarić

Publication date: 22 June 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0039

zbMATH Keywords

Steffensen inequalityOstrowski-type inequalityMontgomery identityGrüss-type inequality\(n\)-convex functions

Mathematics Subject Classification ID

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

Related Items (2)

Extension of Montgomery identity via Taylor polynomial on time scales ⋮ Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity

Cites Work

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• Convex functions, partial orderings, and statistical applications
• Steffensen's inequality for positive measures
• A note on generalization of weighted Čebyšev and Ostrowski inequalities
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]

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