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• Carlson, B. C. Inequality for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3), 698–703, 1970.
• Chen, C. -P., Cheung, W. -S. and Wang, W.-S. On Shafer and Carlson inequali- ties, J. Inequal. Appl. 2011, Article ID 840206, 10 pages, 2011; Available online at http://dx.doi.org/10.1155/2011/840206. [3] de Abreu, G. T. F. Arbitrarily tight upper and lower bounds on the Gaussian q-function and related functions, 2009 IEEE International Conference on Communications (ICC 2009), Vols 1-8, 1944–1949, Dresden, Germany, Jun. 14-18, 2009; Available online at http://dx.doi.org/10.1109/ICC.2009.5198762.
• Fink, A. M. Two inequalities, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 6, 48–49, 1995.
• Guo, B. -N. and Qi, F. Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Available online at http://arxiv.org/abs/0902.3039.
• Guo, B. -N. and Qi, F. Sharpening and generalizations of Carlson’s inequality for the arc cosine function, Hacet. J. Math. Stat. 39 (3), 403–409, 2010.
• Maleˇsevi´c, B. J. An application of λ-method on Shafer-Fink’s inequality, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 8, 90–92, 1997.
• Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, Berlin, 1970).
• Pan, W. -H. and Zhu, L. Generalizations of Shafer-Fink-type inequalities for the arc sine function, J. Inequal. Appl. 2009, Article ID 705317, 6 pages, 2009; Available online at http://dx.doi.org/10.1155/2009/705317. [10] Qi, F., Cui, L. -H. and Xu, S. -L. Some inequalities constructed by Tchebysheff ’s integral inequality, Math. Inequal. Appl. 2 (4), 517–528, 1999.
• Qi, F. and Guo, B. -N. A concise proof of Oppenheim’s double inequality relating to the cosine and sine functions, Available online at http://arxiv.org/abs/0902.2511.
• Qi, F. and Guo, B. -N. Sharpening and generalizations of Carlson’s inequality for the arc cosine function, Available online at http://arxiv.org/abs/0902.3495.
• Qi, F. and Guo, B. -N. Sharpening and generalizations of Shafer’s inequality for the arc sine function, Integral Transforms Spec. Funct. 23 (2), 129–134, 2012; Available online at http://dx.doi.org/10.1080/10652469.2011.564578.
• Qi, F. and Guo, B. -N. Sharpening and generalizations of Shafer-Fink’s double inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.3036.
• Qi, F., Niu, D. -W. and Guo, B. -N. Refinements, generalizations, and applications of Jor- dan’s inequality and related problems, J. Inequal. Appl. 2009, Article ID 271923, 52 pages, 2009; Available online at http://dx.doi.org/10.1155/2009/271923.
• Qi, F., Zhang, S. -Q. and Guo, B. -N. Sharpening and generalizations of Shafer’s inequality for the arc tangent function, J. Inequal. Appl. 2009, Article ID 930294, 9 pages, 2009; Available online at http://dx.doi.org/10.1155/2009/930294.
• Zhang, S. -Q. and Guo, B. -N. Monotonicity results and inequalities for the inverse hyperbolic sine, Chinese Quart. J. Math. 24 (3), 394–388, 2009.
• Zhu, L. A solution of a problem of Oppeheim, Math. Inequal. Appl. 10 (1), 57–61, 2007.