On Certain Inequalities for Hyperbolic and Trigonometric Functions

نویسنده

  • JÓZSEF SÁNDOR
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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Some 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 کامل

INTERPOLATION 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 کامل

Inequalities 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 کامل

Inequalities 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

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013