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

Volume: 39 Number: 3 March 1, 2010
  • Bai-ni Guo
  • Feng Qi
EN TR

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

Abstract

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Keywords

References

  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.
  3. Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, New York/Heidelburg/Berlin, 1970).
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

Bai-ni Guo This is me

Feng Qi This is me

Publication Date

March 1, 2010

Submission Date

May 12, 2014

Acceptance Date

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Published in Issue

Year 2010 Volume: 39 Number: 3

APA
Guo, B.- ni, & 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. https://izlik.org/JA56DT67NW
AMA
1.Guo B ni, Qi F. Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):403-409. https://izlik.org/JA56DT67NW
Chicago
Guo, Bai-ni, and Feng Qi. 2010. “Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function”. Hacettepe Journal of Mathematics and Statistics 39 (3): 403-9. https://izlik.org/JA56DT67NW.
EndNote
Guo B- ni, 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
[1]B.- ni 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, Mar. 2010, [Online]. Available: https://izlik.org/JA56DT67NW
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 1, 2010): 403-409. https://izlik.org/JA56DT67NW.
JAMA
1.Guo B- ni, 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, Mar. 2010, pp. 403-9, https://izlik.org/JA56DT67NW.
Vancouver
1.Bai-ni Guo, Feng Qi. Sharpening and Generalizations of Carlson’s Inequality for the Arc Cosine Function. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Mar. 1;39(3):403-9. Available from: https://izlik.org/JA56DT67NW