Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality

DOI10.7153/mia-2019-22-81zbMath1434.26064OpenAlexW2983309907MaRDI QIDQ5215222

Anamarija Perušić Pribanić, Ksenija Smoljak Kalamir, Josip E. Pečarić

Publication date: 7 February 2020

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

Full work available at URL: https://doi.org/10.7153/mia-2019-22-81

zbMATH Keywords

Green functionSteffensen inequalityHermite interpolating polynomial\(n\)-convex function

Mathematics Subject Classification ID

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

Cites Work

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• On the Green's function of an \(N\)-point boundary value problem
• Generalizations of Steffensen's inequality via weighted Montgomery identity
• Steffensen type inequalities involving convex functions
• 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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