Properties and refinements of Aczél-type inequalities

DOI10.7153/jmi-2018-12-14zbMath1391.26061OpenAlexW2792640078MaRDI QIDQ4565878

Jing-Feng Tian, Ming-Hu Ha

Publication date: 13 June 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-14

zbMATH Keywords

refinementpropertyAczél-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (13)

An accurate approximation formula for gamma function ⋮ Triple diamond-alpha integral and Hölder-type inequalities ⋮ Inequalities for s-th means function of order k ⋮ Improvements of generalized Hölder's inequalities and their applications ⋮ Generalizations of Popoviciu's and Bellman's inequalities ⋮ Monotonicity and inequalities for the gamma function ⋮ Čebyšev-Grüss inequalities for \(\alpha\)-partial derivatives ⋮ Extensions of Hölder's inequality via pseudo-integral ⋮ Extensions of Hölder's inequality and its applications in Ostrowski inequality ⋮ A sharpened version of Aczél inequality by abstract convexity ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ \(N\)-tuple diamond-alpha integral and inequalities on time scales ⋮ Some normal intuitionistic fuzzy Heronian mean operators using Hamacher operation and their application

Cites Work

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• Reversed version of a generalized Aczél's inequality and its application
• Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
• Some new properties of generalized Hölders inequalities
• Note on Aczel-type inequality and Bellman-type inequality
• Properties of generalized sharp Hölder's inequalities

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