Results 31 to 40 of about 11,244 (303)
A new technical for solving a weakly singular integro-differential equations
Journal of Taibah University for Science, 2017 In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations.
Mostefa Nadir
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Random walk on the range of random walk [PDF]
We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥5 we establish quenched and annealed scaling limits for the process X, which show that the intersections of the original simple random walk path are ...
Croydon, David A.
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A Law of the Logarithm for Kernel Density Estimators
The Annals of Probability, 1982 In this paper we derive a law of the logarithm for the maximal deviation between a kernel density estimator and the true underlying density function. Extensions to higher derivatives are included. The results are applied to get optimal window-widths with respect to almost sure uniform convergence.
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Kernel Least Logarithmic Absolute Difference Algorithm
Mathematical Problems in Engineering, 2022 Kernel adaptive filtering (KAF) algorithms derived from the second moment of error criterion perform very well in nonlinear system identification under assumption of the Gaussian observation noise; however, they inevitably suffer from severe performance degradation in the presence of non-Gaussian impulsive noise and interference.
Dongliang Fu +3 more
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On the regularization of the first kind integral equation with analytical kernel of logarithmic type [PDF]
, 1999 We study regularization methods for the integral equation of the first kind with analytical kernel of logarithmic type. The problem is severely ill-posed. In [1] a logarithmic type convergence rate for the Tikhonov regularized solution was proved.
Bruckner, Gottfried
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Construction of Boundary Invariants and the Logarithmic Singularity of the Bergman Kernel [PDF]
The Annals of Mathematics, 2000 This paper studies Fefferman's program \cite{F3} of expressing the singularity of the Bergman kernel, for smoothly bounded strictly pseudoconvex domains $Ω\subset\C^n$, in terms of local biholomorphic invariants of the boundary. By \cite{F1}, the Bergman kernel on the diagonal $K(z,cz)$ is written in the form $$ K=ϕr^{-n-1}+ψ\log r \qtext{with} ϕ,ψ\in ...
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Spectral relationships of the integral equation with logarithmic kernel in some different domains [PDF]
, 2014 In this work, the Fredholm integral equation (FIE) with logarithmic kernel is investigated from the contact problem in the plane theory of elasticity. Then, using potential theory method (PTM), the spectral relationships (SRs) of this integral equation ...
Abdou, M. A., Youssef, M. I.
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On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group [PDF]
, 2020 International audienceIn this note, we derive a new logarithmic Sobolev inequality for the heat kernel on the Heisenberg group. The proof is inspired from the historical method of Leonard Gross with the Central Limit Theorem for a random walk.
Chafaï, Djalil +5 more
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Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
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A Novel Hybrid Kernel Adaptive Filtering Algorithm for Nonlinear Channel Equalization
IEEE Access, 2019 In this paper, a novel kernel mixed error criterion (KMEC) algorithm is proposed for nonlinear system identification, which uses a combination of two different error schemes to implement a newly constructed cost function, which is realized by using a ...
Qishuai Wu +3 more
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