The Huygens and Wilker-type inequalities as inequalities for means of two arguments
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The famous Huygens and Wilker type trigonometric or hyperbolic inequalities have been extensively studied in the mathematical literature (see e.g. [18], [23], [9]). The special means of two arguments, as the logarithmic, the identric, or the Seiffert’s means have also been in the focus of many researchers (see e.g. [10], [20],[13], [8]). The aim of this paper is to show that the Wilker or Huygens (or Cusa-Huygens) type trigonometric and hyperbolic inequalities can be stated in fact as certain inequalities for means of two arguments.
Abstract
The famous Huygens and Wilker type trigonometric or hyperbolic inequalities have been extensively studied in the mathematical literature (see e.g. [18], [23], [9]). The special means of two arguments, as the logarithmic, the identric, or the Seiffert’s means have also been in the focus of many researchers (see e.g. [10], [20],[13], [8]). The aim of this paper is to show that the Wilker or Huygens (or Cusa-Huygens) type trigonometric and hyperbolic inequalities can be stated in fact as certain inequalities for means of two arguments.
참고문헌 (23)
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