Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity

DOI10.2298/AADM220523015POpenAlexW4387464940MaRDI QIDQ6195505

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

Publication date: 14 March 2024

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm220523015p

zbMATH Keywords

Taylor's formulaFink's identity\(n\)-convex functionsMontgomery's identityweighted Hermite-Hadamard inequality

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 weighted generalization of the Hermite-Hadamard inequality and its applications
• Convex functions, partial orderings, and statistical applications
• Generalizations of Steffensen's inequality via the extension of Montgomery identity
• Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence
• Fejér type inequalities for higher order convex functions and quadrature formulae
• Bounds on the deviation of a function from its averages

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