Some improvements of Aczél's inequality and Popoviciu's inequality

DOI10.1016/j.camwa.2008.02.021zbMath1155.26313OpenAlexW2068941126WikidataQ60034391 ScholiaQ60034391MaRDI QIDQ1004794

Shan-He Wu

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.02.021

zbMATH Keywords

Aczél's inequalitygeneralized Hölder inequalityPopoviciu's inequalityBernoulli's inequalitygeneralizesharpen

Mathematics Subject Classification ID

Other analytical inequalities (26D20)

Related Items (12)

Generalizations of Popoviciu's and Bellman's inequalities ⋮ Operator Aczél inequality ⋮ Generalizations of refined Hölder's inequalities and their applications ⋮ New refinements of generalized Aczél inequality ⋮ On Pólya-Szegő's inequality ⋮ On a generalization of Aczél's inequality ⋮ Refinements of generalized Aczél-Popoviciu's inequality and Bellman's inequality ⋮ Refinements of Aczél and Bellman's inequalities ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ On reverse Hölder and Minkowski inequalities ⋮ Refinements of Aczél-type inequality and their applications ⋮ Popoviciu type inequalities for determinants

Cites Work

• Inequalities for indefinite forms
• Aczél-Chebyshev type inequality for positive linear functions
• Generalizations of Aczél's inequality and Popoviciu's inequality
• On an Inequality Concerning an Indefinite Form
• A further generalization of Aczél's inequality and Popoviciu's inequality
• Improvements of some inequalities of Aczél's type
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