Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

Sharpening and Generalizations of Carlson's Inequality for the Arc Cosine Function

Sayfa
403–409
Yayın Tarihi
2010-03-01
DOI
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GUO, B., Qİ, F. (2010). Sharpening and Generalizations of Carlson's Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 403–409. https://ajindex.com/articles/669747

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Kaynakça (9)

  1. Carlson, B. C. Inequality for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3), 698–703, 1970.
  2. 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. Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, New York/Heidelburg/Berlin, 1970).
  3. 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.
  4. 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.
  5. Qi, F. and Guo, B.-N. Concise sharpening and generalizations of Shafer’s inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.2588.
  6. 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.
  7. 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, 2009. Article ID 271923, 52 pages; Available online at http://dx.doi.org/10.1155/2009/271923.
  8. Qi, F., Zhang, Sh.-Q. and Guo, B.-N. Sharpening and generalizations of Shafer’s inequality for the arc tangent function, J. Inequal. Appl. 2009, 2009. Article ID 930294, 10 pages; Available online at http://dx.doi.org/10.1155/2009/930294.
  9. Zhang, Sh.-Q. and Guo, B.-N. Monotonicity results and inequalities for the inverse hyper bolic sine, Chinese Quart. J. Math. 24 (3), 394–388, 2009.