Some papers and preprints in 2010 by Dr. Prof. Feng Qi

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Some papers and preprints in 2010

Fourteen papers formally published in 2010

2010年正式发表的14篇论文

  1. Feng Qi, Bounds for the ratio of two gamma functions, Journal of Inequalities and Applications 2010 (2010), Article ID 493058, 84 pages; Available online at http://dx.doi.org/10.1155/2010/493058.
    • Cited by-被引用情况
      1. Yi-Chao Chen, Toufik Mansour, and Qian Zou, On the complete monotonicity of quotient of gamma functions, Mathematical Inequalities and Applications 15 (2012), in press.
      2. Iosif Pinelis, Geometrically convergent sequences of upper and lower bounds on the Wallis ratio and related expressions, Available online at http://arxiv.org/abs/1101.3287.
      3. Winfried G. Hallerbach, On the expected performance of market timing strategies, Available online at http://ssrn.com/abstract=1887264.
      4. 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.
      5. Michel Ledoux and Brian Rider, Small deviations for beta ensembles, Electronic Journal of Probability 15 (2010), Paper no. 41, 1319–1343.
      6. Cristinel Mortici, On the Stirling expansion into negative powers of a triangular number, Mathematical Communications 15 (2010), no. 2, 359–364.
      7. Per A. Mykland, Neil Shephard, and Kevin Sheppard, Efficient and feasible inference for the components of financial variation using blocked multipower variation, in press.
      8. Laforgia and P. Natalini, Some inequalities for the ratio of gamma functions, Journal of Inequalities and Special Functions 2 (2011), no. 1, 16–26.
  2. Feng Qi and Bai-Ni Guo, A logarithmically completely monotonic function involving the gamma function, Taiwanese Journal of Mathematics 14 (2010), no. 4, 1623–1628; Available online at https://doi.org/10.11650/twjm/1500405972.
  3. Feng Qi and Bai-Ni Guo, Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic, Advances in Applied Mathematics 44 (2010), no. 1, 71–83; Available online at http://dx.doi.org/10.1016/j.aam.2009.03.003.
    • Cited by-被引用情况
      1. Necdet Batir, Improving Stirling’s formula, Mathematical Communications 16 (2011), no. 1, 105–114.
  4. Feng Qi and Bai-Ni Guo, Some logarithmically completely monotonic functions related to the gamma function, Journal of the Korean Mathematical Society 47 (2010), no. 6, 1283–1297; Available online at http://dx.doi.org/10.4134/JKMS.2010.47.6.1283.
  5. Feng Qi and Bai-Ni Guo, Some properties of extended remainder of Binet’s first formula for logarithm of gamma function, Mathematica Slovaca 60 (2010), no. 4, 461–470; Available online at http://dx.doi.org/10.2478/s12175-010-0025-7.
  6. Feng Qi, Senlin Guo and Bai-Ni Guo, Complete monotonicity of some functions involving polygamma functions, Journal of Computational and Applied Mathematics 233 (2010), no. 9, 2149–2160; Available online at http://dx.doi.org/10.1016/j.cam.2009.09.044.
    • Cited by-被引用情况
      1. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
      2. 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.
      3. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
  7. Chao-Ping Chen, Feng Qi and H. M. Srivastava, Some properties of functions related to the gamma and psi functions, Integral Transforms and Special Functions 21 (2010), no. 2, 153–164; Available online at http://dx.doi.org/10.1080/10652460903064216.
    • Cited by-被引用情况
      1. Chao-Ping Chen and H. M. Srivastava, Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes $G$-function, Integral Transforms and Special Functions 22 (2011), no. 1, 1–15; Available online at http://dx.doi.org/10.1080/10652469.2010.483899.
      2. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
      3. Tie-Hong Zhao, Yu-Ming Chu, and Hua Wang, Logarithmically complete monotonicity properties relating to the gamma function, Abstract and Applied Analysis 2011 (2011), Article ID 896483, 13 pages; Available online at http://dx.doi.org/10.1155/2011/896483.
      4. Tie-Hong Zhao and Yu-Ming Chu, A class of logarithmically completely monotonic functions associated with a gamma function, Journal of Inequalities and Applications 2010 (2010), Article ID 392431, 11 pages; Available online at http://dx.doi.org/10.1155/2010/392431.
  8. Bai-Ni Guo and Feng Qi, A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics 72 (2010), no. 2, 21–30.
    • Cited by-被引用情况
      1. A.Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
  9. Bai-Ni Guo and Feng Qi, Sharpening and generalizations of Carlson’s inequality for the arc cosine function, Hacettepe Journal of Mathematics and Statistics 39 (2010), no. 3, 403–409.
    • 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.
  10. Bai-Ni Guo and Feng Qi, Some properties of the psi and polygamma functions, Hacettepe Journal of Mathematics and Statistics 39 (2010), no. 2, 219–231.
    • 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. Cristinel Mortici, Estimating the digamma and trigamma functions by completely monotonicity arguments, Applied Mathematics and Computation 217 (2010), 4081–4085; Available online at http://dx.doi.org/10.1016/j.amc.2010.10.023.
  11. Bai-Ni Guo and Feng Qi, Two new proofs of the complete monotonicity of a function involving the psi function, Bulletin of the Korean Mathematical Society 47 (2010), no. 11, 103–111; Available online at http://dx.doi.org/10.4134/BKMS.2010.47.1.103.
    • Cited by-被引用情况
      1. Tie-Hong Zhao, Yu-Ming Chu, and Hua Wang, Logarithmically complete monotonicity properties relating to the gamma function, Abstract and Applied Analysis 2011 (2011), Article ID 896483, 13 pages; Available online at http://dx.doi.org/10.1155/2011/896483.
      2. Tie-Hong Zhao and Yu-Ming Chu, A class of logarithmically completely monotonic functions associated with a gamma function, Journal of Inequalities and Applications 2010 (2010), Article ID 392431, 11 pages; Available online at http://dx.doi.org/10.1155/2010/392431.
      3. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
  12. Bai-Ni Guo, Feng Qi and H. M. Srivastava, Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions, Integral Transforms and Special Functions 21 (2010), no. 11, 849–858; Available online at http://dx.doi.org/10.1080/10652461003748112.
    • Cited by-被引用情况
      1. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
  13. Mohammad Masjed-Jamei, Feng Qi and H. M. Srivastava, Generalizations of some classical inequalities via a special functional property, Integral Transforms and Special Functions 21 (2010), no. 5, 327–336; Available online at http://dx.doi.org/10.1080/10652460903259915.
  14. Da-Wei Niu, Jian Cao and Feng Qi, Generalizations of Jordan’s inequality and concerned relations, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics 72 (2010), no. 3, 85–98.

Four preprints announced in 2010

2010年以预印本形式发表的4篇论文

  1. Feng Qi and Bai-Ni Guo, A completely monotonic function involving the tri- and tetra-gamma functions, Available online at http://arxiv.org/abs/1001.4611.
  2. Feng Qi and Bai-Ni Guo, An elegant refinement of a double inequality for the gamma function, Available online at http://arxiv.org/abs/1001.1495.
  3. Feng Qi and Bai-Ni Guo, Sharp bounds for harmonic numbers, Available online at http://arxiv.org/abs/1002.3856.
  4. Feng Qi and Bai-Ni Guo, Two monotonic functions involving gamma function and volume of unit ball, Available online at http://arxiv.org/abs/1001.1496.

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