A nice separation of some Seiffert-type means by power means

DOI10.1155/2012/430692zbMath1248.26028OpenAlexW2133108507WikidataQ58704729 ScholiaQ58704729MaRDI QIDQ456501

Gheorghe Toader, Iulia Costin

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/430692

zbMATH Keywords

trigonometric means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (5)

A note on Jordan, Adamović-Mitrinović, and Cusa inequalities ⋮ Sharp inequalities for trigonometric functions ⋮ Monotonicity of the ratio of the power and second Seiffert means with applications ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

Cites Work

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• Multi-variable extended mean values
• Inequalities for differences of powers
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Algorithms Involving Arithmetic and Geometric Means
• The Logarithmic Mean

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