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Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT 

Year 2012, Volume: 41 Issue: 4, 499 - 506, 01.04.2012

J.-l. Zhao Q.-m. Luo B.-n. Guo  f. Qi

Keywords

-

References

  • Abramowitz, M. and Stegun, I. A. (Eds) Handbook of Mathematical Functions with Formu- las, Graphs, and Mathematical Tables(National Bureau of Standards, Applied Mathematics Series 55, 9th printing, Washington, 1970).
  • Andrews, G. E., Askey, R. and Roy, R. Special Functions (Encyclopedia of Mathematics and its Applications 71, Cambridge University Press, Cambridge, 1999).
  • Becker, M. and Strak, E. L. On a hierarchy of polynomial inequalities for tan x, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 602-633, 133–138, 1978.
  • Chen, C. -P. and Qi, F. A double inequality for remainder of power series of tangent function, Tamkang J. Math. 34 (4), http://dx.doi.org//10.5556/j.tkjm.34.2003.351-355 –355,2003; Available online at
  • Guo, B. -N. and Qi, F. A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 72 (2), 21–30, 2010.
  • 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.
  • Kuang, J. -C. Ch´angy`ong B`udˇengsh`ı(Applied Inequalities), 3rd ed. (Shandong Science and Technology Press, Ji’nan City, Shandong Province, China, 2004). (in Chinese)
  • Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, New York, Heidelberg, Berlin, ). 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., 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, 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 (2009), Article ID 930294, 9 pages, ; Available online at http://dx.doi.org/10.1155/2009/930294.
  • Steckin, S. B. Some remarks on trigonmetric polynomials, Uspehi Mat. Nauk. (N.S.) 10 (63), 159–166, 1955. (in Russian)
  • Zhao, J. -L., Wei, C. -F., Guo, B. -N. and Qi, F. Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Hacet. J. Math. Stat. 41 (2), 201–209, 2012. Zhu, L. and Hua, (2010), Article J. Inequal. online Appl. http://dx.doi.org/10.1155/2010/931275. ID , pages, ; Available at

Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT 

Year 2012, Volume: 41 Issue: 4, 499 - 506, 01.04.2012

J.-l. Zhao Q.-m. Luo B.-n. Guo  f. Qi

Keywords

-

References

  • Abramowitz, M. and Stegun, I. A. (Eds) Handbook of Mathematical Functions with Formu- las, Graphs, and Mathematical Tables(National Bureau of Standards, Applied Mathematics Series 55, 9th printing, Washington, 1970).
  • Andrews, G. E., Askey, R. and Roy, R. Special Functions (Encyclopedia of Mathematics and its Applications 71, Cambridge University Press, Cambridge, 1999).
  • Becker, M. and Strak, E. L. On a hierarchy of polynomial inequalities for tan x, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 602-633, 133–138, 1978.
  • Chen, C. -P. and Qi, F. A double inequality for remainder of power series of tangent function, Tamkang J. Math. 34 (4), http://dx.doi.org//10.5556/j.tkjm.34.2003.351-355 –355,2003; Available online at
  • Guo, B. -N. and Qi, F. A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 72 (2), 21–30, 2010.
  • 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.
  • Kuang, J. -C. Ch´angy`ong B`udˇengsh`ı(Applied Inequalities), 3rd ed. (Shandong Science and Technology Press, Ji’nan City, Shandong Province, China, 2004). (in Chinese)
  • Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, New York, Heidelberg, Berlin, ). 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., 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, 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 (2009), Article ID 930294, 9 pages, ; Available online at http://dx.doi.org/10.1155/2009/930294.
  • Steckin, S. B. Some remarks on trigonmetric polynomials, Uspehi Mat. Nauk. (N.S.) 10 (63), 159–166, 1955. (in Russian)
  • Zhao, J. -L., Wei, C. -F., Guo, B. -N. and Qi, F. Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Hacet. J. Math. Stat. 41 (2), 201–209, 2012. Zhu, L. and Hua, (2010), Article J. Inequal. online Appl. http://dx.doi.org/10.1155/2010/931275. ID , pages, ; Available at
There are 12 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

J.-l. Zhao This is me

Q.-m. Luo This is me

B.-n. Guo This is me

 f. Qi This is me

Publication Date April 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 4

Cite

APA Zhao, J.- l., Luo, Q.- m., Guo, B.- n., Qi, f. (2012). Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 499-506.
AMA Zhao J l., Luo Q m., Guo B n., Qi f. Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. April 2012;41(4):499-506.
Chicago Zhao, J.-l., Q.-m. Luo, B.-n. Guo, and  f. Qi. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41, no. 4 (April 2012): 499-506.
EndNote Zhao J- l., Luo Q- m., Guo B- n., Qi f. (April 1, 2012) Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 41 4 499–506.
IEEE J.- l. Zhao, Q.- m. Luo, B.- n. Guo, and  f.Qi, “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 4, pp. 499–506, 2012.
ISNAD Zhao, J.-l. et al. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (April2012), 499-506.
JAMA Zhao J- l., Luo Q- m., Guo B- n., Qi f. Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41:499–506.
MLA Zhao, J.-l. et al. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 4, 2012, pp. 499-06.
Vancouver Zhao J- l., Luo Q- m., Guo B- n., Qi f. Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):499-506.

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