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

Year 2010, Volume: 39 Issue: 3, 403 - 409, 01.03.2010

References

  • Carlson, B. C. Inequality for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3), 698–703, 1970.
  • 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).
  • 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. Concise sharpening and generalizations of Shafer’s inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.2588.
  • 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, 2009. Article ID 271923, 52 pages; Available online at http://dx.doi.org/10.1155/2009/271923.
  • 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.
  • 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.

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

Year 2010, Volume: 39 Issue: 3, 403 - 409, 01.03.2010

References

  • Carlson, B. C. Inequality for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3), 698–703, 1970.
  • 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).
  • 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. Concise sharpening and generalizations of Shafer’s inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.2588.
  • 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, 2009. Article ID 271923, 52 pages; Available online at http://dx.doi.org/10.1155/2009/271923.
  • 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.
  • 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.
There are 11 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Bai-ni Guo This is me

Feng Qi This is me

Publication Date March 1, 2010
Published in Issue Year 2010 Volume: 39 Issue: 3

Cite

APA Guo, B.-n., & Qi, F. (2010). Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics, 39(3), 403-409.
AMA Guo Bn, Qi F. Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics. March 2010;39(3):403-409.
Chicago Guo, Bai-ni, and Feng Qi. “Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function”. Hacettepe Journal of Mathematics and Statistics 39, no. 3 (March 2010): 403-9.
EndNote Guo B-n, Qi F (March 1, 2010) Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics 39 3 403–409.
IEEE B.-n. Guo and F. Qi, “Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, pp. 403–409, 2010.
ISNAD Guo, Bai-ni - Qi, Feng. “Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function”. Hacettepe Journal of Mathematics and Statistics 39/3 (March 2010), 403-409.
JAMA Guo B-n, Qi F. Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics. 2010;39:403–409.
MLA Guo, Bai-ni and Feng Qi. “Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, 2010, pp. 403-9.
Vancouver Guo B-n, Qi F. Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):403-9.