BibTex RIS Kaynak Göster

Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT 

Yıl 2012, Cilt: 41 Sayı: 4, 499 - 506, 01.04.2012

Kaynakça

  • 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 

Yıl 2012, Cilt: 41 Sayı: 4, 499 - 506, 01.04.2012

Kaynakça

  • 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
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

J.-l. Zhao Bu kişi benim

Q.-m. Luo Bu kişi benim

B.-n. Guo Bu kişi benim

 f. Qi Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 4

Kaynak Göster

APA Zhao, J.-l., Luo, Q.-m., Guo, B.-n., Qi, . (2012). Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 499-506.
AMA Zhao Jl, Luo Qm, Guo Bn, Qi . Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. Nisan 2012;41(4):499-506.
Chicago Zhao, J.-l., Q.-m. Luo, B.-n. Guo, ve  f. Qi. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41, sy. 4 (Nisan 2012): 499-506.
EndNote Zhao J-l, Luo Q-m, Guo B-n, Qi  (01 Nisan 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, ve  . Qi, “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, ss. 499–506, 2012.
ISNAD Zhao, J.-l. vd. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (Nisan 2012), 499-506.
JAMA Zhao J-l, Luo Q-m, Guo B-n, Qi . Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41:499–506.
MLA Zhao, J.-l. vd. “Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, 2012, ss. 499-06.
Vancouver Zhao J-l, Luo Q-m, Guo B-n, Qi . Remarks on Inequalities for the Tangent Function  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):499-506.