The monotonicity and convexity of a function involving psi function with applications
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Publication:295008
DOI10.1186/s13660-016-1084-2zbMath1338.33012OpenAlexW2409606037WikidataQ59467101 ScholiaQ59467101MaRDI QIDQ295008
Qiang Li, Zhi-Ming Liu, Bang-Cheng Sun, Shen-Zhou Zheng
Publication date: 17 June 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-016-1084-2
Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Special sequences and polynomials (11B83) Monotonic functions, generalizations (26A48)
Related Items (3)
On values of the psi function ⋮ Some properties of the divided difference of psi and polygamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions
Cites Work
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- Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
- Monotonicity properties of a function involving the psi function with applications
- Monotonicity properties of functions related to the psi function
- Fast convergences towards Euler-Mascheroni constant
- Inequalities for the harmonic numbers
- Sharp bounds for psi function
- Improved convergence towards generalized Euler-Mascheroni constant
- Sharp inequalities for the harmonic numbers
- On some properties of digamma and polygamma functions
- Half integer approximations for the partial sums of the harmonic series
- A double inequality for the trigamma function and its applications
- Sharp inequalities for the psi function and harmonic numbers
- Some new convergent sequences and inequalities of Euler's constant
- A generalization of Euler's constant
- Inequalities for the double gamma function
- Some completely monotonic functions involving polygamma functions and an application
- On the harmonic number expansion by Ramanujan
- Sharp bounds for the psi function and harmonic numbers
- Some properties of the psi and polygamma functions
- Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
- The best bounds in Gautschi's inequality
- On some properties of the Gamma function
- 3295. Approximate evaluation of Euler’s constant
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