A new generalization of Aczél's inequality and its applications to an improvement of Bellman's inequality

DOI10.1016/j.aml.2007.07.010zbMath1134.26310OpenAlexW2042986561MaRDI QIDQ926770

Lokenath Debnath, Shan-He Wu

Publication date: 21 May 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.010

zbMATH Keywords

generalizationAczél's inequalityBellman's inequalitypower means inequalityČebyšev's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (10)

Some generalizations of Aczél, Bellman's inequalities and related power sums ⋮ Generalizations of Popoviciu's and Bellman's inequalities ⋮ Bellman inequality for Hilbert space operators ⋮ Operator Aczél inequality ⋮ Čebyšev-Grüss inequalities for \(\alpha\)-partial derivatives ⋮ On a generalization of Aczél's inequality ⋮ Refinements of Aczél and Bellman's inequalities ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ Refinements of Aczél-type inequality and their applications ⋮ Some operator Bellman type inequalities

Cites Work

• Inequalities for indefinite forms
• Aczél-Chebyshev type inequality for positive linear functions
• Improvement of Aczél's inequality and Popoviciu's inequality
• 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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