On extension and refinement of Wilker's inequality

DOI10.1216/RMJ-2009-39-2-683zbMath1172.26008MaRDI QIDQ1024962

Shan-He Wu

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Wilker's inequalityarithmetic-geometric means inequality, exponential parameters

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items

Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions, A method to prove inequalities and its applications, Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions, Sharp Wilker-type inequalities with applications, Unnamed Item, WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS, Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions, On the Wilker and Huygens-type inequalities, Generalized Wilker-type inequalities with two parameters, A minimax approximant in the theory of analytic inequalities, Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II, Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions

Cites Work

• A New Simple Proof of Wilker's Inequality
• L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
• On new proofs of Wilker's inequalities involving trigonometric functions