On Certain Inequalities for Hyperbolic and Trigonometric Functions
نویسنده
چکیده
Starting from certain inequalities for hyperbolic and trigonometric functions, we obtain some general inequalities for functions and their inverses. As applications, refinements and new inequalities for hyperbolic and trigonometric functions are pointed out.
منابع مشابه
Sharp Inequalities for Trigonometric and Hyperbolic Functions
We establish several sharp inequalities for trigonometric and hyperbolic functions. Our results sharpen some known inequalities. Mathematics subject classification (2010): 26D05, 26D07.
متن کاملSome Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions
The authors obtain some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions and generalize some known inequalities.
متن کاملINTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS
In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.
متن کاملInequalities Involving Hyperbolic Functions and Trigonometric Functions
Inequalities involving hyperbolic functions and trigonometric functions are established. Most of the established inequalities can be regarded as the companion inequalities to those obtained by Lazarević, Adamović and Mitrinović and Cusa and Huygens The established results are obtained with the aid of the Schwab-Borchardt mean.
متن کاملInequalities involving generalized trigonometric and hyperbolic functions
The Huygens-Wilker type inequalities involving generalized trigonometric functions and generalized hyperbolic functions are established. The first and the second inequalities of Huygens and Wilker, for classes of functions under discussion, are also investigated.
متن کامل