Inequalities for weighted sums of powers and their applications

DOI10.7153/mia-15-85zbMath1253.26041OpenAlexW2334745052MaRDI QIDQ3167818

Edward Neuman

Publication date: 29 October 2012

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-15-85

zbMATH Keywords

inequalitiesJacobian elliptic functionsSchwab-Borchardt meancircular and hyperbolic functionsLegendre's elliptic integrals of the first kindGauss arithmetic-geometric mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Elliptic functions and integrals (33E05) Inequalities involving other types of functions (26D07)

Related Items (12)

A method to prove inequalities and its applications ⋮ Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions ⋮ On a new family of bivariate means II ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS ⋮ On a new bivariate mean ⋮ Inequalities and bounds for a certain bivariate elliptic mean II ⋮ Sharp bounds for the arithmetic-geometric mean ⋮ On the \(p\)-version of the Schwab-Borchardt mean ⋮ On generalized Seiffert means ⋮ Generalized Gudermannian function ⋮ On a new bivariate mean. II

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