One- and two-sided inequalities for Jacobian elliptic functions and related results

DOI10.1080/10652460903345961zbMath1193.33234OpenAlexW2043596371MaRDI QIDQ3570150

Edward Neuman

Publication date: 24 June 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903345961

zbMATH Keywords

inequalitieselliptic integralsJacobian elliptic functionsinverse Jacobian elliptic functions

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Inequalities involving other types of functions (26D07)

Related Items (19)

Hölder concavity and inequalities for Jacobian elliptic functions ⋮ Product formulas and bounds for Jacobian elliptic functions with applications ⋮ A method to prove inequalities and its applications ⋮ Inequalities for Jacobian elliptic functions and Gauss lemniscate functions ⋮ On new Wilker-type inequalities ⋮ Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions ⋮ On the Wilker and Huygens-type inequalities ⋮ On lemniscate functions ⋮ Inequalities and bounds for generalized complete elliptic integrals ⋮ Some properties of the generalized Jacobian elliptic functions II ⋮ Inequalities associated with Čebyšev functional for Saigo fractional integration operator ⋮ Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II ⋮ Some properties of the generalized Jacobian elliptic functions III ⋮ A note on the Jacobian elliptic sine function ⋮ Some properties of the generalized Jacobian elliptic functions ⋮ Product formulas and inequalities involving θ functions ⋮ Inequalities involving Jacobian elliptic functions and their inverses ⋮ Wilker- and Huygens-type inequalities for Jacobian elliptic and theta functions ⋮ Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions

Cites Work

• Bounds for symmetric elliptic integrals.
• Symmetry in c, d, n of Jacobian elliptic functions
• Inequalities and bounds for elliptic integrals
• A further refinement of Wilker's inequality
• Power series for inverse Jacobian elliptic functions
• Shafer-Fink type inequalities for the elliptic function sn(u|k)
• A weighted and exponential generalization of Wilker's inequality and its applications
• On Computing Elliptic Integrals and Functions
• Unnamed Item

This page was built for publication: One- and two-sided inequalities for Jacobian elliptic functions and related results