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Epiperimetric inequalities in the obstacle problem for the fractional Laplacian. [PDF]

Calc Var Partial Differ Equ
Carducci M.
europepmc   +1 more source

The conditions of failing and successful plant invasions with free boundary. [PDF]

Sci Rep
Li R, Zhu L, Zhou Y.
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acmgscaler: An R package and Colab for standardised gene-level variant effect score calibration within the ACMG/AMP framework

Badonyi M, Marsh JA.
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Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function

Mathematica Slovaca, 2022
With the aid of convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the author presents decreasing property of ...
Feng Qi (祁锋)
semanticscholar   +1 more source

Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation

Comput. Methods Appl. Math., 2021
Time-fractional initial-boundary problems of parabolic type are considered. Previously, global error bounds for computed numerical solutions to such problems have been provided by Liao et al. (SIAM J. Numer. Anal. 2018, 2019) and Stynes et al.
Hu Chen, M. Stynes
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Some Absolutely Monotonic and Completely Monotonic Functions

SIAM Journal on Mathematical Analysis, 1974
The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Harry Pollard, Richard Askey
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Monotonicity and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function

, 2020
In the paper, by convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein's theorem for completely monotonic functions, and other analytic techniques, the authors (1) verify decreasing ...
Feng Qi (祁锋), Feng Qi (祁锋), Ling-Xiong Han, Hong-Ping Yin   +3 more
semanticscholar   +1 more source