A continuous analogue and an extension of Radó's formulæ

DOI10.1017/S0004972700016944zbMath0848.26010OpenAlexW2043870521MaRDI QIDQ4881937

Charles E. M. Pearce, Josip E. Pečarić

Publication date: 16 July 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700016944

zbMATH Keywords

logarithmic meanintegral power meanRadó's inequalities

Mathematics Subject Classification ID

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

Related Items (7)

Generalized Hadamard's inequality and \(r\)-convex functions in Carnot groups ⋮ Hadamard's inequality for \(r\)-convex functions ⋮ Inequalities for the weighted mean of r-preinvex functions on an invex set ⋮ Inequalities for the weighted mean of $r$-convex functions ⋮ Inequalities for the generalized weighted mean values of \(g\)-convex functions with applications ⋮ Inequalities of Hadamard type for \(r\)-convex functions in Carnot groups ⋮ Stolarsky means and Hadamard's inequality

Cites Work

• On the identric and logarithmic means
• The power mean and the logarithmic mean
• Convex functions and mean value inequalities
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• On Convex Functions

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