On the \(p\)-version of the Schwab-Borchardt mean

DOI10.1155/2014/697643zbMath1308.26055OpenAlexW2047533450WikidataQ59044296 ScholiaQ59044296MaRDI QIDQ2260330

Edward Neuman

Publication date: 10 March 2015

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

Full work available at URL: https://doi.org/10.1155/2014/697643

zbMATH Keywords

inverse functionsNeuman-Sándor meanWilker- and Huygens-type inequalities

Mathematics Subject Classification ID

Means (26E60)

Related Items (5)

On the \(p\)-version of the Schwab-Borchardt mean. II ⋮ Generalized Gudermannian function ⋮ Optimal bounds for Neuman mean using arithmetic and centroidal means ⋮ On certain new means generated by generalized trigonometric functions ⋮ On a class of new means including the generalized Schwab-Borchardt mean

Uses Software

• DLMF

Cites Work

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• Some remarkable sine and cosine functions
• On generalized trigonometric functions with two parameters
• Homogeneous mean values: weights and asymptotics
• Inequalities for the Schwab-Borchardt mean and their applications
• Inequalities for weighted sums of powers and their applications
• Inequalities involving inverse circular and inverse hyperbolic functions II
• Inequalities for eigenfunctions of the $p$-Laplacian
• A Hypergeometric Mean Value
• Some Inequalities for Hypergeometric Functions
• Algorithms Involving Arithmetic and Geometric Means
• Inequalities for the generalized trigonometric and hyperbolic functions

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