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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.4
- 발행연도
- 2017.1
- 수록면
- 605 - 612 (8page)
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Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we extend the hyperbolic analogue of these trigonometric inequalities. As an application of these results we present a generalization of Cusa-type inequality to modi ed Bessel function. Our main motivation to write this paper is a recent publication of Chen and S andor, which we wish to complement.
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참고문헌 (10)
참고문헌 신청
M. Abramowitz / 1965 / Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables / Dover Publications
C.-P. CHen / 2015 / Sharp inequalities for trigonometric and hyperbolic functions / J. Math. Ineq 9(1):203~217
J. S. Frame / 1954 / Some trigonometric, hyperbolic and elliptic approximations / Amer. Math. Monthly 61:623~626
K. Mehrez / Generalized Huygens types inequalities for Bessel and modified Bessel functions of the first kind / arXiv:1601.01007v1
K. Mehrez / Extension of Huygens type inequalities for Bessel and modified Bessel Functions of the first kinds / arXiv:1512.05798v1
C.-P. CHen / 2015 / Sharp inequalities for trigonometric and hyperbolic functions / J. Math. Ineq 9(1):203~217
J. S. Frame / 1954 / Some trigonometric, hyperbolic and elliptic approximations / Amer. Math. Monthly 61:623~626
K. Mehrez / Generalized Huygens types inequalities for Bessel and modified Bessel functions of the first kind / arXiv:1601.01007v1
K. Mehrez / Extension of Huygens type inequalities for Bessel and modified Bessel Functions of the first kinds / arXiv:1512.05798v1
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