Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial

DOI10.7153/mia-2019-22-95zbMath1434.26056OpenAlexW2989507580MaRDI QIDQ5215236

Josip E. Pečarić, Anita Matković

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-2019-22-95

zbMATH Keywords

\(n\)-convex functionsJensen-Mercer inequality

Mathematics Subject Classification ID

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

Related Items (2)

Jensen-Mercer type inequalities for operator \(h\)-convex functions ⋮ Unnamed Item

Cites Work

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• Steffensen inequality, higher order convexity and exponential convexity
• Generalization of the Jensen-Mercer inequality by Taylor's polynomial
• Bounds for the normalized Jensen-Mercer functional
• Generalization of majorization theorem
• Popoviciu type inequalities via Green function and generalized Montgomery identity

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