On Jessen's inequality for convex functions. II

DOI10.1016/0022-247X(86)90296-9zbMath0608.26010OpenAlexW4206282033MaRDI QIDQ1086373

Paul R. Beesack, Josip E. Pečarić

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90296-9

zbMATH Keywords

convex functionsJessen inequalityHölder type inequalitiesinequalities involving mean valuesKnopp and Hadamard inequality

Mathematics Subject Classification ID

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

Related Items (13)

Grüss' inequality for positive linear functionals ⋮ Operator iteration on the Young inequality ⋮ The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results ⋮ Envelopes and inequalities in vector lattices ⋮ Some additive reverses of Callebaut and Hölder inequalities for isotonic functionals ⋮ Integral inequalities on time scales via the theory of isotonic linear functionals ⋮ Unnamed Item ⋮ On Jessen's inequality for convex functions. III ⋮ Refinements of Jessen's functional ⋮ Some properties of generalized exponential entropies with applications to data compression ⋮ Generalization of the power means and their inequalities ⋮ A functional generalization of diamond-\(\alpha\) integral Dresher's inequality on time scales ⋮ On dual mixed quermassintegral quotient functions

Cites Work

• Extended mean values. II
• On Jessen's inequality for convex functions
• Generalization of the Cauchy-Schwarz inequality
• An inequality for generalized means
• Moment spaces and inequalities
• On the Hölder Inequality
• On an Inequality for the Generalized Arithmetic and Geometric Means
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• Analytic Inequalities
• A Class of Mean Value Functions
• Dresher's Inequality
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