논문KCI 등재
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)
- A. Baricz, "Extensions of generalized Wilker inequality to Bessel functions", J. Math. Ineq, 2(3), pp.397~406 (2008)
- C. Huygens, "Oenvres Completes 1888-1940", Societe Hollondaise des Sciences
- D. S. Mitrinovic, "Analytic inequalities" (1970), Springer-Verlag
- E. Neuman, "Inequalities involving hyperbolic functions and trigonometric functions", ~
- 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)
- J. Sandor, "On Huygens' trigonometric inequality", RGMIA Res. Rep. Collection, 8(3) (2005)
- J. Sandor, "On Huygens' inequalities and the theory of means", Intern. J. Math. Math. Sci, 2012, pp.9~ (2012)
- J. B. Wilker, "Problem E3306", Amer. Math. Monthly, 96, pp.55~ (1989)
- 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)
- L. Zhu, "On Wilker-type inequalities", Math. Ineq. Appl, 10(4), pp.727~731 (2007)
관련 논문AI추천
On some new Wilker and Huygens type trigonometric‐hyperbolic inequalitiesJ. Sándor장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호The Huygens and Wilker-type inequalities as inequalities for means of two argumentsJ´ozsef S´andor장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호VARIATIONS ON THE CUSA-HUYGENS INEQUALITYJozsef Sandor장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호DUNKEL TYPE INEQUALITIES INVOLVING HYPERBOLIC FUNCTIONSQIUYAN ZHANG, WAN-LAN WANG장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호New bounds for the Ostrowski-like type inequalitiesQuoc Anh Ngo, Vu Nhat Huy대한수학회 · 대한수학회보2011 · 제48권 제1호Certain form of Hilbert-type inequality using non-homogeneous kernel of hyperbolic functionsSantosh Kaushik, Satish Kumar강원경기수학회 · 한국수학논문집2023 · 제31권 제2호
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