Some papers and preprints in 2009 by Dr. Prof. Feng Qi

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Some papers and preprints in 2009

Fourteen papers formally published in 2009

2009年正式发表的14篇论文

  1. Feng Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Journal of Computational and Applied Mathematics 224 (2009), no. 2, 538–543; Available online at http://dx.doi.org/10.1016/j.cam.2008.05.030.
    • Cited by-被引用情况
      1. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      2. Chao-Ping Chen, On some inequalities for means and the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 11 (2008), Supplement, Article 6; Available online at http://rgmia.org/v11(E).php.
  2. Feng Qi, Pietro Cerone, Sever S. Dragomir and H. M. Srivastava, Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values, Applied Mathematics and Computation 208 (2009), no. 1, 129–133; Available online at http://dx.doi.org/10.1016/j.amc.2008.11.023.
  3. Feng Qi and Bai-Ni Guo, Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications, Communications on Pure and Applied Analysis 8 (2009), no. 6, 1975–1989; Available online at http://dx.doi.org/10.3934/cpaa.2009.8.1975.
    • Cited by-被引用情况
      1. Peng Gao, Some completely monotonic functions involving the polygamma functions, Available online at http://arxiv.org/abs/1012.0387.
      2. Necdet Batir, Improving Stirling’s formula, Mathematical Communications 16 (2011), no. 1, 105–114.
  4. Feng Qi, Da-Wei Niu and Bai-Ni Guo, Refinements, generalizations, and applications of Jordan’s inequality and related problems, Journal of Inequalities and Applications 2009 (2009), Article ID 271923, 52 pages; Available online at http://dx.doi.org/10.1155/2009/271923.
    • Cited by-被引用情况
      1. Yuyang Qiu and Ling Zhu, The best approximation of the sinc function by a polynomial of degree $n$ with the square norm, Journal of Inequalities and Applications 2010 (2010), Article ID 307892, 12 pages; Available online at http://dx.doi.org/10.1155/2010/307892.
      2. Ling Zhu, Inequalities for hyperbolic functions and their applications, Journal of Inequalities and Applications 2010 (2010), Article ID 130821, 10 pages; Available online at http://dx.doi.org/10.1155/2010/130821.
      3. Ling Zhu, A general form of Jordan-type double inequality for the generalized and normalized Bessel functions, Applied Mathematics and Computation 215 (2010), no. 11, 3802–3810.
  5. Feng Qi and Anthony Sofo, An alternative and united proof of a double inequality for bounding the arithmetic-geometric mean, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics 71 (2009), no. 3, 69–76.
  6. Feng Qi, Shi-Qin Zhang and Bai-Ni Guo, Sharpening and generalizations of Shafer’s inequality for the arc tangent function, Journal of Inequalities and Applications 2009 (2009), Article ID 930294, 9 pages; Available online at http://dx.doi.org/10.1155/2009/930294.
    • Cited by-被引用情况
      1. Chao-Ping Chen, Wing-Sum Cheung, and Wusheng Wang, On Shafer and Carlson inequalities, Journal of Inequalities and Applications 2011 (2011), Article ID 840206, 10 pages; Available online at http://dx.doi.org/10.1155/2011/840206.
  7. Bai-Ni Guo and Feng Qi, A simple proof of logarithmic convexity of extended mean values, Numerical Algorithms 52 (2009), 89–92; Available online at http://dx.doi.org/10.1007/s11075-008-9259-7.
    • Cited by-被引用情况
      1. Ming-Yu Shi, Yu-Ming Chu and Yue-Ping Jiang, Optimal inequalities related to the power, harmonic and identric means, Acta Matematica Scientia Series B (2010), in press.
  8. Bai-Ni Guo and Feng Qi, Properties and applications of a function involving exponential functions, Communications on Pure and Applied Analysis 8 (2009), no. 4, 1231–1249; Available online at http://dx.doi.org/10.3934/cpaa.2009.8.1231.
  9. Senlin Guo and Feng Qi, A class of completely monotonic functions related to the remainder of Binet’s formula with applications, Tamsui Oxford Journal of Mathematical Sciences 25 (2009), no. 1, 9–14.
  10. Senlin Guo and Feng Qi, A class of logarithmically completely monotonic functions associated with the gamma function, Journal of Computational and Applied Mathematics 224 (2009), no. 1, 127–132; Available online at http://dx.doi.org/10.1016/j.cam.2008.04.028.
    • Cited by-被引用情况
      1. Hamdullah Şevli and Necdet Batir, Complete monotonicity results for some functions involving the gamma and polygamma functions, Mathematical and Computer Modelling 53 (2011), 1771–1775; Available online at http://dx.doi.org/10.1016/j.mcm.2010.12.055.
      2. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
  11. Abdolhossein Hoorfar and Feng Qi, Sums of series of Rogers dilogarithm functions, Ramanujan Journal 18 (2009), no. 2, 231–238; Available online at http://dx.doi.org/10.1007/s11139-007-9043-7.
  12. Yu Miao and Feng Qi, A discrete version of an open problem and several answers, Journal of Inequalities in Pure and Applied Mathematics 10 (2009), no. 2, Article 49; Available online at http://www.emis.de/journals/JIPAM/article1105.html.
    • Cited by-被引用情况
      1. Xinkuan Chai, Yonggang Zhao, and Hongxia Du, Several answers to an open problem, International Journal of Contemporary Mathematical Sciences 5 (2010), no. 37, 1813–1817.
      2. Xinkuan Chai and Hongxia Du, Several discrete inequalities, International Journal of Mathematical Analysis 4 (2010), no. 33-36, 1645–1649.
      3. Quôc Anh Ngô, On the inverse of an integral inequality, RGMIA Research Report Collection 10 (2007), no. 4, Article 10; Available online at http://rgmia.org/v10n4.php.
  13. Yu Miao and Feng Qi, Several $q$-integral inequalities, Journal of Mathematical Inequalities 3 (2009), no. 1, 115–121.
    • Cited by-被引用情况
      1. Valmir Krasniqi, Erratum, several $q$-integral inequalities, Journal of Mathematical Inequalities 5 (2011), no. 3, 451.
      2. Mohamad Rafi Segi Rahmat, On some $(q,h)$-analogues of integral inequalities on discrete time scales, Computers and Mathematics with Applications 62 (2011), no. 4, 1790–1797; Available online at http://dx.doi.org/10.1016/j.camwa.2011.06.022.
      3. Waadallah T. Sulaiman, New types of $q$-integral inequalities, Advances in Pure Mathematics 1 (2011), no. 1, 77–80; Available online at http://dx.doi.org/10.4236/apm.2011.13017.
      4. Waad T. Sulaiman, A study on new $q$-integral inequalities, Applied Mathematics 2 (2011), no. 4, 465–469; Available online at http://dx.doi.org/10.4236/am.2011.24059.
      5. W. T. Sulaiman, Several $q$-integral inequalities, Australian Journal of Mathematical Analysis and Applications 7 (2010), no. 2, Article 6; Available online at http://ajmaa.org/cgi-bin/paper.pl?string=v7n2/V7I2P6.tex.
      6. Valmir Krasniqi and Armend Sh. Shabani, On some Feng Qi type $h$-integral inequalities, International Journal of Open Problems in Computer Science and Mathematics 2 (2009), no. 4, 516–521.
  14. Shi-Qin Zhang, Bai-Ni Guo and Feng Qi, A concise proof for properties of three functions involving the exponential function, Applied Mathematics E-Notes 9 (2009), 177–183.

Thirty four preprints Pannounced in 2009

2009年以预印本形式发表的34篇论文

  1. Feng Qi, Bounds for the ratio of two gamma functions—From Gautschi’s and Kershaw’s inequalities to completely monotonic functions, Available online at http://arxiv.org/abs/0904.1049.
  2. Feng Qi, Bounds for the ratio of two gamma functions—From Wendel’s and related inequalities to logarithmically completely monotonic functions, Available online at http://arxiv.org/abs/0904.1048.
  3. Feng Qi, Bounds for the ratio of two gamma functions—From Wendel’s limit to Elezović-Giordano-Pečarić’s theorem, Available online at http://arxiv.org/abs/0902.2514.
    • Cited by-被引用情况
      1. Stamatis Koumandos and Martin Lamprecht, Some completely monotonic functions of positive order, Mathematics of Computation 79 (2010), no. 271, 1697–1707.
  4. Feng Qi and Bai-Ni Guo, A class of completely monotonic functions involving divided differences of the psi and polygamma functions and some applications, Available online at http://arxiv.org/abs/0903.1430.
  5. Feng Qi and Bai-Ni Guo, A complete solution to an open problem relating to an inequality for ratios of gamma functions, Available online at http://arxiv.org/abs/0902.2513.
  6. Feng Qi and Bai-Ni Guo, A concise proof of Oppenheim’s double inequality relating to the cosine and sine functions, Available online at http://arxiv.org/abs/0902.2511.
  7. Feng Qi and Bai-Ni Guo, A note on additivity of polygamma functions, Available online at http://arxiv.org/abs/0903.0888.
  8. Feng Qi and Bai-Ni Guo, A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, Available online at http://arxiv.org/abs/0903.5038.
    • Cited by-被引用情况
      1. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
  9. Feng Qi and Bai-Ni Guo, A short proof of monotonicity of a function involving the psi and exponential functions, Available online at http://arxiv.org/abs/0902.2519.
  10. Feng Qi and Bai-Ni Guo, An alternative proof of Elezović-Giordano-Pečarić’s theorem, Available online at http://arxiv.org/abs/0903.1174.
  11. Feng Qi and Bai-Ni Guo, Complete monotonicity of a polygamma function plus the square of another polygamma function, Available online at http://arxiv.org/abs/0904.1104.
  12. Feng Qi and Bai-Ni Guo, Concise sharpening and generalizations of Shafer’s inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.2588.
  13. Feng Qi and Bai-Ni Guo, Logarithmic convexity of Gini means, Available online at http://arxiv.org/abs/0903.1208.
  14. Feng Qi and Bai-Ni Guo, Monotonicity and logarithmic convexity relating to the volume of the unit ball, Available online at http://arxiv.org/abs/0902.2509.
    • Cited by-被引用情况
      1. G. D. Anderson and M. Vuorinen, Reflections on Ramanujan’s mathematical gems, Available online at http://arxiv.org/abs/1006.5092.
      2. Christian Berg and Henrik L. Pedersen, A completely monotonic function used in an inequality of Alzer, , Available online at http://arxiv.org/abs/1105.6181.
      3. Christian Berg and Henrik L. Pedersen, A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space, Proceedings of the American Mathematical Society 139 (2011), no. 6, 2121–2132; Available online at http://dx.doi.org/10.1090/S0002-9939-2010-10636-6.
      4. Christian Berg and Henrik L. Pedersen, A Pick function related to the sequence of volumes of the unit ball in $n$-space, Available online at http://arxiv.org/abs/0912.2185.
  15. Feng Qi and Bai-Ni Guo, Monotonicity results and bounds for the inverse hyperbolic sine, Available online at http://arxiv.org/abs/0903.1676.
  16. Feng Qi and Bai-Ni Guo, Necessary and sufficient conditions for a function involving a ratio of gamma functions to be logarithmically completely monotonic, Available online at http://arxiv.org/abs/0904.1101.
  17. Feng Qi and Bai-Ni Guo, Necessary and sufficient conditions for a function involving divided differences of the di- and tri-gamma functions to be completely monotonic, Available online at http://arxiv.org/abs/0903.3071.
    • Cited by-被引用情况
      1. Peng Gao, Some monotonicity properties of gamma and $q$-gamma functions, ISRN Mathematical Analysis 2011 (2011), Article ID 375715, 15 pages; Available online at http://dx.doi.org/10.5402/2011/375715.
      2. Peng Gao, Some completely monotonic functions involving the polygamma functions, Available online at http://arxiv.org/abs/1012.0387.
  18. Feng Qi and Bai-Ni Guo, Refinements of lower bounds for polygamma functions, Available online at http://arxiv.org/abs/0903.1996.
  19. Feng Qi and Bai-Ni Guo, Sharp inequalities for polygamma functions, Available online at http://arxiv.org/abs/0903.1984.
    • Cited by-被引用情况
      1. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
  20. Feng Qi and Bai-Ni Guo, Sharp inequalities for the psi function and harmonic numbers, Available online at http://arxiv.org/abs/0902.2524.
    • Cited by-被引用情况
      1. Cristinel Mortici, The proof of Muqattash-Yahdi conjecture, Mathematical and Computer Modelling 51 (2010), no. 9-10, 1154–1159.
      2. Dimitris Karayannakis, Gautchi’s ratio and the volume of the unit ball in $\mathbb{R}^n$, Available online at http://arxiv.org/abs/0912.2182.
  21. Feng Qi and Bai-Ni Guo, Sharpening and generalizations of Carlson’s inequality for the arc cosine function, Available online at http://arxiv.org/abs/0902.3495.
  22. Feng Qi and Bai-Ni Guo, Sharpening and generalizations of Shafer-Fink’s double inequality for the arc sine function, Available online at http://arxiv.org/abs/0902.3036.
  23. Feng Qi and Bai-Ni Guo, Sharpening and generalizations of Shafer’s inequality for the arc tangent function, Available online at http://arxiv.org/abs/0902.3298.
  24. Feng Qi and Bai-Ni Guo, Some logarithmically completely monotonic functions related to the gamma function, Available online at http://arxiv.org/abs/0903.5123.
  25. Feng Qi and Bai-Ni Guo, Some properties of extended remainder of Binet’s first formula for logarithm of gamma function, Available online at http://arxiv.org/abs/0904.1118.
  26. Feng Qi and Bai-Ni Guo, Some properties of the psi and polygamma functions, Available online at http://arxiv.org/abs/0903.1003.
  27. Feng Qi and Bai-Ni Guo, The function $(b^x-a^x)/x$: Logarithmic convexity and applications to extended mean values, Available online at http://arxiv.org/abs/0903.1203.
  28. Feng Qi and Bai-Ni Guo, Two new proofs of the complete monotonicity of a function involving the psi function, Available online at http://arxiv.org/abs/0902.2520.
    • Cited by-被引用情况
      1. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
  29. Feng Qi, Senlin Guo and Bai-Ni Guo, Complete monotonicity of some functions involving polygamma functions, Available online at http://arxiv.org/abs/0905.2732.
  30. Feng Qi and Anthony Sofo, An alternative and united proof of a double inequality for bounding the arithmetic-geometric mean, Available online at http://arxiv.org/abs/0902.2515.
  31. Bai-Ni Guo and Feng Qi, Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Available online at http://arxiv.org/abs/0902.3039.
    • Cited by-被引用情况
      1. Chao-Ping Chen, Wing-Sum Cheung, and Wusheng Wang, On Shafer and Carlson inequalities, Journal of Inequalities and Applications 2011 (2011), Article ID 840206, 10 pages; Available online at http://dx.doi.org/10.1155/2011/840206.
  32. Bai-Ni Guo and Feng Qi, Some bounds for the complete elliptic integrals of the first and second kinds, Available online at http://arxiv.org/abs/0905.2787.
  33. Bai-Ni Guo and Feng Qi, The function $(b^x-a^x)/x$: Ratio’s properties, Available online at http://arxiv.org/abs/0904.1115.
  34. Senlin Guo and Feng Qi, More supplements to a class of logarithmically completely monotonic functions associated with the gamma function, Available online at http://arxiv.org/abs/0904.4027.

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