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- East China Normal UniversityCN52 papers
- Chongqing UniversityCN21 papers
- Shanxi UniversityCN21 papers
- Chinese Academy of SciencesCN18 papers
- University of Shanghai for Science and TechnologyCN11 papers
- Jinan Institute of Quantum TechnologyCN9 papers
- New York University ShanghaiCN9 papers
- University of Chinese Academy of SciencesCN8 papers
- ETH ZurichCH7 papers
- Henan Polytechnic UniversityCN7 papers
- Institute of PhysicsPL7 papers
- Paul Scherrer InstituteCH7 papers
9 papers · 1 filter
Complete monotonicity of functions involving the -trigamma and -tetragamma functions
Feng Qi
Let , , and for stand respectively for the -digamma, -trigamma, and -tetragamma functions. In the paper, the author proves along two diff…
Refinements and sharpening of some Huygens and Wilker type inequalities
Wei-Dong Jiang, Qiu-Ming Luo, Feng Qi
In the article, some Huygens and Wilker type inequalities involving trigonometric and hyperbolic functions are refined and sharpened.
Complete monotonicity of a function involving the gamma function and applications
Feng Qi
In the article we present necessary and sufficient conditions for a function involving the logarithm of the gamma function to be completely monotonic and apply these results to bou…
The function : Ratio's properties
Bai-Ni Guo, Feng Qi
In the paper, after reviewing the history, background, origin, and applications of the functions and , we establish suffic…
Sharp inequalities for polygamma functions
Feng Qi, Bai-Ni Guo
The main aim of this paper is to prove that the double inequality \frac{(k-1)!}{\Bigl\{x+\Bigl[\frac{(k-1)!}{|ψ^{(k)}(1)|}\Bigr]^{1/k}\Bigr\}^k} +\frac{k!}{x^{k+1}}<\bigl|ψ^{(k)}(x…
Monotonicity results and bounds for the inverse hyperbolic sine
Feng Qi, Bai-Ni Guo
In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine. From these, we derive some inequalities for bounding the inverse hyperbolic si…