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New Huygens and related trigonometric and hyperbolic inequalities

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We offer new Huygens, Wilker, Cusa-Huygens, Wu-Srivastava type inequalities, which improve the existing results in the literature.

Abstract

We offer new Huygens, Wilker, Cusa-Huygens, Wu-Srivastava type inequalities, which improve the existing results in the literature.

참고문헌 (10)

  1. A. Baricz, "Extensions of generalized Wilker inequality to Bessel functions", J. Math. Ineq, 2(3), pp.397~406 (2008)
  2. C. Huygens, "Oenvres Completes 1888-1940", Societe Hollondaise des Sciences
  3. D. S. Mitrinovic, "Analytic inequalities" (1970), Springer-Verlag
  4. E. Neuman, "Inequalities involving hyperbolic functions and trigonometric functions", ~
  5. E. Neuman, "On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities", Math. Ineq. Appl, 13(4), pp.215~223 (2010)
  6. J. Sandor, "On Huygens' trigonometric inequality", RGMIA Res. Rep. Collection, 8(3) (2005)
  7. J. Sandor, "On Huygens' inequalities and the theory of means", Intern. J. Math. Math. Sci, 2012, pp.9~ (2012)
  8. J. B. Wilker, "Problem E3306", Amer. Math. Monthly, 96, pp.55~ (1989)
  9. S.-H.Wu, "A weighted and exponential generalization of Wilker's inequality and its applications", Integr. Transf. Spec. Funct, 18(8), pp.525~535 (2007)
  10. L. Zhu, "On Wilker-type inequalities", Math. Ineq. Appl, 10(4), pp.727~731 (2007)

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