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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
6 papers · 2 filters
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…
A note on additivity of polygamma functions
Feng Qi, Bai-Ni Guo
In the note, the functions $\abs{ψ^{(i)}(e^x)}$ for are proved to be sub-additive on and super-additive on , where $θ_i\in(0,1)…
Bounds for the ratio of two gamma functions--From Wendel's limit to Elezović-Giordano-Pečarić's theorem
Feng Qi
In the survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some known results, including Wendel's, Gurland's, Kazarinoff's,…
Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
Feng Qi, Bai-Ni Guo
In this paper, we sharpen and generalize Shafer-Fink's double inequality for the arc sine function.