Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type

DOI10.3934/math.2021753OpenAlexW3201068678MaRDI QIDQ2142873

Ling Zhu, Branko J. Malešević

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021753

zbMATH Keywords

boundsarithmetic meancentroidal meanSeiffert-like meanshyperbolic tangent meansine mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

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Cites Work

• Inequalities for quasiconformal mappings in space
• A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
• On some inequalities for the Bernoulli numbers
• Sharp bounds for the Bernoulli numbers
• Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
• Optimal bounds for two Seiffert-like means in exponential type
• Sharp bounds for the ratio of two zeta functions
• Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means
• New bounds for the ratio of two adjacent even-indexed Bernoulli numbers
• Sharp power mean bounds for two Sándor-Yang means
• Optimal inequalities between Neuman-Sándor, centroidal and harmonic means
• On Seiffert-like means
• Decomposition of homogeneous means and construction of some metric spaces
• Optimal bounds for the tangent and hyperbolic sine means II
• Bounds for the perimeter of an ellipse in terms of power means
• Optimal bounds for Neuman mean using arithmetic and centroidal means
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