Results 61 to 70 of about 2,821,192 (174)
Refinements of lower bounds for polygamma functions [PDF]
Proceedings of the American Mathematical Society, 2012 8 ...
Guo, Bai-Ni, Qi, Feng
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 13999-14013, October 2025.ABSTRACT Scaling is a topic of utmost importance in business. When to scale and how has been the subject of countless books and seminars. This paper looks at modular businesses that have income and costs directly proportional to the number of units.
Micah N. Jasper
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Complete monotonicity of some functions involving polygamma functions
Journal of Computational and Applied Mathematics, 2010 14 ...
Feng Qi 0001, Senlin Guo, Bai-Ni Guo
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Speed of Convergence to Normality When Regressors Are Nonstationary
Oxford Bulletin of Economics and Statistics, Volume 87, Issue 5, Page 871-879, October 2025.ABSTRACT Stochastic and deterministic trends always coexist in data generating processes, which causes the nonstationarity and non‐standard distributions of statistics used in inference. It is known that the presence of the deterministic trend leads to asymptotic normality of the t‐statistics.
Lukasz T. Gatarek, Aleksander Welfe
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Resource‐adaptive and OOD‐robust inference of deep neural networks on IoT devices
CAAI Transactions on Intelligence Technology, Volume 10, Issue 1, Page 115-133, February 2025.Abstract Efficiently executing inference tasks of deep neural networks on devices with limited resources poses a significant load in IoT systems. To alleviate the load, one innovative method is branching that adds extra layers with classification exits to a pre‐trained model, enabling inputs with high‐confidence predictions to exit early, thus reducing
Cailen Robertson +4 more
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Inequalities for the inverses of the polygamma functions [PDF]
Archiv der Mathematik, 2018 submitted
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Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
Journal of Mathematics, Volume 2025, Issue 1, 2025.Our aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n 55k−i/k, i=1234,,,.
Jenică Crînganu +2 more
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Continued fractions and the polygamma functions
Journal of Computational and Applied Mathematics, 1983 AbstractIn a previous study we have shown that the polygamma functions (derivatives of the logarithm of the gamma function) relate to Stieltjes transforms in the square of the argument. These transforms in turn may be converted to Stieltjes continued fractions; in the background is a determined Stieltjes moment problem.In the present study we use the ...
Bowman, K.O., Shenton, L.R.
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Evaluation of Soil–Structure Interface Models Considering Cyclic Loading Effect
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 48, Issue 17, Page 4257-4273, 10 December 2024.ABSTRACT The simulation of the soil–structure interface (SSI) under cyclic loading is critically important in geotechnical engineering. Numerous studies have been conducted to explore the cyclic behaviors exhibited at the SSI. However, existing model evaluations primarily rely on direct comparisons between experiments and simulations, with limited ...
Hai‐Lin Wang +3 more
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A note on additivity of polygamma functions
, 2009 In the note, the functions $\abs{ψ^{(i)}(e^x)}$ for $i\in\mathbb{N}$ are proved to be sub-additive on $(\lnθ_i,\infty)$ and super-additive on $(-\infty,\lnθ_i)$, where $θ_i\in(0,1)$ is the unique root of equation $2\abs{ψ^{(i)}(θ)}=\abs{ψ^{(i)}(θ^2)}$.
Qi, Feng, Guo, Bai-Ni
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