Quantitative Estimates in $$L^{p}$$Lp-Approximation by Bernstein–Durrmeyer–Choquet Operators with Respect to Distorted Borel Measures
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DOI: 10.1007/s00025-017-0759-4
Abstract: For the multivariate Bernstein–Durrmeyer operator $$D_{n, \mu }$$Dn,μ, written in terms of the Choquet integral with respect to a distorted probability Borel measure $$\mu $$μ on the standard d-dimensional simplex $$S^{d}$$Sd, quantitative $$L^{p}$$Lp-approximation results, $$1\le… read more here.
Keywords: bernstein durrmeyer; estimates approximation; approximation bernstein; quantitative estimates ... See more keywords
On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model
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DOI: 10.1016/j.crma.2019.09.007
Abstract: In this note, we propose a new relative entropy combination of the methods developed by P.--E. Jabin and Z.~Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. of Math, (2018) and references therein] to… read more here.
Keywords: mean field; segel model; patlak keller; quantitative estimates ... See more keywords
Linking colony size with quantitative estimates of ecosystem services of African fruit bats
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DOI: 10.1016/j.cub.2019.02.033
Abstract: Animal-mediated seed dispersal is a pivotal component of functioning forest ecosystems all over the globe. Animals that disperse seeds away from their parental plants increase the seeds' chances of survival by releasing them from competition… read more here.
Keywords: colony size; linking colony; estimates ecosystem; size ... See more keywords
Quantitative C1-estimates by Bismut formulae
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DOI: 10.1016/j.jmaa.2018.05.025
Abstract: For a $C^2$ function $u$ and an elliptic operator $L$, we prove a quantitative estimate for the derivative $du$ in terms of local bounds on $u$ and $Lu$. An integral version of this estimate is… read more here.
Keywords: bismut formulae; estimates bismut; quantitative estimates;
Quantitative estimates of the content of the metastable Si-XII, Si-III, and α-Si phases of silicon in the areas of indenter impressions
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DOI: 10.3103/s1062873817110089
Abstract: A quantitative estimate is presented of the specific and total volumes of the metastable Si-XII, Si-III, and α-Si phases of silicon in a locally strained (Berkovich pyramid) area. Calculations are performed using experimental data obtained… read more here.
Keywords: phases silicon; xii iii; quantitative estimates; iii phases ... See more keywords