Results 1 to 10 of about 276 (106)
On Landau-Kolmogorov type inequalities for charges and their applications
Researches in Mathematics, 2023 In this article we prove sharp Landau-Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in $\mathbb{R}^d$, $d\geqslant 1$, that are absolutely continuous with respect to the Lebesgue measure.
V.F. Babenko +3 more
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Brain Connectivity Studies on Structure-Function Relationships: A Short Survey with an Emphasis on Machine Learning. [PDF]
Comput Intell Neurosci, 2021 This short survey reviews the recent literature on the relationship between the brain structure and its functional dynamics. Imaging techniques such as diffusion tensor imaging (DTI) make it possible to reconstruct axonal fiber tracks and describe the structural connectivity (SC) between brain regions.
Wein S +6 more
europepmc +2 more sources
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 102, Issue 9, September 2022., 2022 Abstract This paper is concerned with Kolmogorov's two‐equation model for turbulence in R3$\mathbb {R}^3$ involving the mean velocity u, the pressure p, an average frequency ω>0$\omega >0$, and a mean turbulent kinetic energy k. We consider the system with space‐periodic boundary conditions in a cube Ω=(]0,a[)3$\Omega =({]0,a[}){}^3$, which is a good ...
Alexander Mielke, Joachim Naumann
wiley +1 more source
Landau-Kolmogorov type inequalities in several variables for the Jacobi measure
Rendiconti di Matematica e delle Sue Applicazioni, 2014 This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal. These orthogonal polynomials in several variables are built by tensor product of the orthogonal polynomials in ...
Draux, André, Abbas, Lamia
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Remarks, questions and conjectures on Landau-Kolmogorov-type inequalities [PDF]
Mathematical Inequalities & Applications, 2000 For the Landau-Kolmogorov inequality \[ \|f^{(k)}\|_B\leq K(n,k,B) \|f^{(n)}\|_B^{k/n}\|f\|_B^{1-k/n}\tag{1} \] with \(f,f^{(n)}\in B\) it is shown that \(K(n,k,L^p(\mathbb{R}\text{ mod }2\pi))= K(n,k,L^p(\mathbb{R}))\), \(1\leq p\leq\infty\). For functions on \(\mathbb{R}^d\), an analog of the form \[ \|(\partial/\partial \xi)^kf\|_B\leq C(n,k,B ...
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Engineering Reports, Volume 2, Issue 2, February 2020., 2020 We have considered a prominent Nonlinear partial differential equation which governs the spatial spread and propagation of mutant genes. A new integral transform called the Elzaki transform was coupled with Homotopy perturbation to solve for the exact solution of this model.
Adedapo C. Loyinmi, Timilehin K. Akinfe
wiley +1 more source
Landau-Kolmogorov type inequalities for curves on Riemannian manifolds [PDF]
Mathematical Inequalities & Applications, 2019 Summary: We obtain Landau-Kolmogorov type inequalities for mappings defined on the whole real axis and taking values in Riemannian manifolds. In terms of an auxiliary convex function, we find conditions under which the boundedness of covariant derivative along the curve under consideration ensures the boundedness of the corresponding tangent vector ...
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A Century of Nonlinearity in the Geosciences
Earth and Space Science, Volume 6, Issue 7, Page 1007-1042, July 2019., 2019 Abstract This paper provides a thumbnail sketch of the evolution of nonlinear ideas in the mathematics and physics of the geosciences, broadly construed, over the last hundred or so years. It emphasizes the mathematical concepts and methods and outlines simple examples of how they were, are, and maybe will be applied to the solid Earth—that is, the ...
Michael Ghil
wiley +1 more source