References
- [1] G.D. Anderson, M.K. Vamanamurthy, and M. Vuorinen, Conformal Invariants, Inequalities and Quasiconformal Maps, John Wiley & Sons, New York, 1997.
- [2] Y.J. Bagul and C. Chesneau, Refined forms of Oppenheim and Cusa-Huygens type inequalities, Acta Comment. Univ. Tartu. Math. 24 (2020), no. 2, 183–194.
- [3] Y.J. Bagul, R.M. Dhaigude, M. Kostić, and C. Chesneau, Polynomial-exponential bounds for some trigonometric and hyperbolic functions, Axioms 10 (2021), no. 4, Paper No. 308, 10 pp.10.3390/axioms10040308
- [4] B. Chaouchi, V.E. Fedorov, and M. Kostić, Monotonicity of certain classes of functions related with Cusa-Huygens inequality, Chelyab. Fiz.-Mat. Zh. 6 (2021), no. 3, 31–337.
- [5] X.-D. Chen, H. Wang, J. Yu, Z. Cheng, and P. Zhu, New bounds of Sinc function by using a family of exponential functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), no. 1, Paper No. 16, 17 pp.10.1007/s13398-021-01133-0
- [6] C. Chesneau and Y.J. Bagul, A note on some new bounds for trigonometric functions using infinite products, Malays. J. Math. Sci. 14 (2020), no. 2, 273–283.
- [7] A.R. Chouikha, C. Chesneau, and Y.J. Bagul, Some refinements of well-known inequalities involving trigonometric functions, J. Ramanujan Math. Soc. 36 (2021), no. 3, 193–202.
- [8] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Seventh edition, Elsevier/Academic Press, Amsterdam, 2007.
- [9] K.S.K. Iyengar, B.S. Madhava Rao, and T.S. Nanjundiah, Some trigonometrical inequalities, Half-Yearly J. Mysore Univ. Sect. B., N.S. 6 (1945), 1–12.
- [10] R. Klén, M. Visuri, and M. Vuorinen, On Jordan type inequalities for hyperbolic functions, J. Inequal. Appl. 2010, Art. ID 362548, 14 pp.10.1155/2010/362548
- [11] Y. Lv, G. Wang, and Y. Chu, A note on Jordan type inequalities for hyperbolic functions, Appl. Math. Lett. 25 (2012), no. 3, 505–508.
- [12] B. Malešević, T. Lutovac, and B. Banjac, One method for proving some classes of exponential analytical inequalities, Filomat 32 (2018), no. 20, 6921–6925.
- [13] B. Malešević and B. Mihailović, A minimax approximant in the theory of analytic inequalities, Appl. Anal. Discrete Math. 15 (2021), no. 2, 486–509.
- [14] D.S. Mitrinović, Analytic Inequalities, Springer-Verlag, Berlin, 1970.10.1007/978-3-642-99970-3
- [15] E. Neuman and J. Sándor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities, Math. Inequal. Appl. 13 (2010), no. 4, 715–723.
- [16] E. Neuman and J. Sándor, Inequalities for hyperbolic functions, Appl. Math. Comput. 218 (2012), no. 18, 9291–9295.
- [17] C. Qian, X.-D. Chen, and B. Malesevic, Tighter bounds for the inequalities of Sinc function based on reparameterization, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), no. 1, Paper No. 29, 38 pp.10.1007/s13398-021-01170-9
- [18] J. Sándor, Two applications of the Hadamard integral inequality, Notes Number Theory Discrete Math. 23 (2017), no. 4, 52–55.
- [19] S. Wu and L. Debnath, Wilker-type inequalities for hyperbolic functions, Appl. Math. Lett. 25 (2012), no. 5, 837–842.
- [20] Z.-H. Yang, New sharp bounds for logarithmic mean and identric mean, J. Inequal. Appl. 2013, 2013:116, 17 pp.10.1186/1029-242X-2013-116
- [21] Z.-H. Yang, Refinements of a two-sided inequality for trigonometric functions, J. Math. Inequal. 7 (2013), no. 4, 601–615.
- [22] Z.-H. Yang and Y.-M. Chu, Jordan type inequalities for hyperbolic functions and their applications, J. Funct. Spaces 2015, Art. ID 370979, 4 pp.10.1155/2015/370979
- [23] L. Zhang and X. Ma, Some new results of Mitrinović-Cusa’s and related inequalities based on the interpolation and approximation method, J. Math. 2021, Art. ID 5595650, 13 pp.10.1155/2021/5595650
- [24] L. Zhu, Generalized Lazarevic’s inequality and its applications–Part II, J. Inequal. Appl. 2009, Art. ID 379142, 4 pp.10.1155/2009/379142
- [25] L. Zhu, Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 114 (2020), no. 2, Paper No. 81, 17 pp.10.1007/s13398-020-00811-9
- [26] L. Zhu and R. Zhang, New inequalities of Mitrinović-Adamović type, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), no. 1, Paper No. 34, 15 pp.10.1007/s13398-021-01174-5