Results 61 to 70 of about 14,913 (164)

A generation method for completely monotone functions

Applicable Analysis and Discrete Mathematics, 2019
In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.
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Interconversion Relationships for Completely Monotone Functions

SIAM Journal on Mathematical Analysis, 2014
In linear viscoelasticity, the analytically valid Volterra convolution interconversion relationships between the relaxation modulus $G$ and the corresponding creep compliance (retardation) modulus $J$ play a fundamental role. They allow $J$ to be determined from both theoretical and experimental estimates of $G$ and conversely.
Loy, Richard, Anderssen, Robert
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Global stability of stage-structured single species model on with Beverton–Holt birth function

Applied Mathematics in Science and Engineering
Our article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
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Complete Monotonicity of Special Functions

, 2015
In this work we prove that if an entire function $f(z)$ is of order strictly less than one and it has only negative zeros, then for each nonnegative integer $k,m$ the real function $\left(-\frac{1}{x}\right)^{m}\frac{d^{k}}{dx^{k}}\left(x^{k+m}\frac{d^{m}}{dx^{m}}\left(\frac{f'(x)}{f(x)}\right)\right)$ is completely monotonic on $(0,\infty ...
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Six-wave interaction in multimode waveguides with Kerr nonlinearity with allowance for the Gaussian structure of pump waves

Компьютерная оптика
The quality of wavefront conjugation in the case of six-wave interaction in two-dimensional multimode waveguides with Kerr nonlinearity is analyzed under the condition that one of the pump waves excites a zero waveguide mode and the amplitude ...
V.V. Ivakhnik, D.R. Kapizov, V.I. Nikonov   +2 more
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Logarithmically complete monotonicity of reciprocal ARCTAN function

Kragujevac Journal of Mathematics
We prove the conjecture stated in F. Qi and R. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, J. Inequal. Appl. (2019), that the function 1∕ arctan is logarithmically completely monotonic on (0,∞), but not a Stieltjes transform.
Jovanović, Vladimir, Treml, Milanka
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CPG-EVAL: Evaluating the Readiness of Large Language Models as Assistants and Teammates in Language Teaching

Informatics
Large language models (LLMs) have begun to function as assistants or teammates in language learning, teaching, and research. However, what prerequisites are required for LLMs to reliably play these roles, and how such prerequisites should be measured ...
Dong Wang
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Completely and logarithmically completely monotone functions

27 pages (accepted version, corrected some errors in version 2, and given new results, changed the title to Completely monotone functions in general and some applications )
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Determination of the Fracture Locus of a Cor-Ten Steel at Low and High Triaxiality Ranges

Applied Sciences
Cor-Ten steels, also known as weathering steels, are construction materials of growing importance in the field of architecture and crash barriers, not only due to their good mechanical and corrosion resistance properties but also for the appealing color ...
Axel Baruscotti, Nicholas Miori, Franco Concli   +2 more
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Completely monotonic functions on cones [PDF]

Pacific Journal of Mathematics, 1956
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