On Jordan type inequalities for hyperbolic functions

Abstract

This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as (sin x)/x and x/(sinh x) are proved.

16 pages

References in corpus (1)

• Topics in Special Functions

Cited by in corpus (15)

• A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions
• The natural algorithmic approach of mixed trigonometric-polynomial problems
• A new way to prove L'Hospital Monotone Rules with applications
• New sharp Jordan type inequalities and their applications
• Topics in special functions III
• Refinements of Mitrinović-Cusa inequality
• Reflections on Ramanujan's Mathematical Gems
• On the conjecture of generalized trigonometric and hyperbolic functions
• Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
• Some new inequalities for trigonometric functions and corresponding ones for means
• Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions
• Asymmetric expansion preserves hyperbolic convexity
• Sharp Cusa type inequalities for trigonometric functions with two parameters
• On the inequalities of Sándor mean
• New sharp Cusa--Huygens type inequalities for trigonometric and hyperbolic functions