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<p>Using classical analytic techniques, the parameterized Cusa inequalities for trigonometric and hyperbolic functions are proved. Our results derive the Huygens’ and Wilker’s inequalities for trigonometric and hyperbolic functions. Lazarević-type inequalities for trigonometric and hyperbolic functions are improved.</p>

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Cusa-type inequalities for trigonometric and hyperbolic functions

  • 期刊论文

  • 发表日期：

    2026年2月21日

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  • Jun-Ling Sun,
  • Chao-Ping Chen,
  • Cristinel Mortici

摘要

Using classical analytic techniques, the parameterized Cusa inequalities for trigonometric and hyperbolic functions are proved. Our results derive the Huygens’ and Wilker’s inequalities for trigonometric and hyperbolic functions. Lazarević-type inequalities for trigonometric and hyperbolic functions are improved.