Results 11 to 20 of about 173,725,199 (293)
First order convergence of matroids [PDF]
The model theory based notion of the first order convergence unifies the notions of the left-convergence for dense structures and the Benjamini-Schramm convergence for sparse structures. It is known that every first order convergent sequence of graphs with bounded tree-depth can be represented by an analytic limit object called a limit modeling.
Frantisek Kardos +3 more
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Statistical convergence of order α in probability
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das +2 more
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Statistical Convergence of Double Sequences of Order
We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order
R. Çolak, Y. Altin
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A Riesz space or a vector lattice E is a partially ordered linear space that is also a lattice. Order convergence in a Riesz space will be defined and it will be shown that given a solid linear subspace X1 of a Riesz space X, a sequence {xn} is order ...
Joseph T. Belida, Emmanuel A. Cabral
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First-Order Convergence and Roots [PDF]
Nešetřil and Ossona de Mendez introduced the notion of first-order convergence, which unifies the notions of convergence for sparse and dense graphs. They asked whether, if (Gi)i∈ℕ is a sequence of graphs with M being their first-order limit and v is a vertex of M, then there exists a sequence (vi)i∈ℕ of vertices such that the graphs Gi rooted at vi ...
Demetres Christofides, Daniel Král'
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About Convergence and Order of Convergence of Some Fractional Derivatives
In this paper we establish some convergence results for Riemann-Liouville, Caputo, and Caputo-Fabrizio fractional operators when the order of differentiation approaches one. We consider some errors given by $\left|\left| D^{1-\al}f -f'\right|\right|_p$ for p=1 and $p=\infty$ and we prove that for both Caputo and Caputo Fabrizio operators the order of ...
Roscani, Sabrina Dina +1 more
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Convergence and Dynamics of a Higher-Order Method [PDF]
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, and engineering, to mention a few, reduces to solving an equation. Its solution is one of the greatest challenges. It involves some iterative method generating a sequence approximating the solution.
Alejandro Moysi +5 more
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Order convergence and topological convergence [PDF]
In a complete lattice it is possible to define a notion of convergence (for arbitrary nets) known as order convergence (o-convergence) ; for definitions see [l,p.5°]and [3, p. 65]. As a general rule o-convergence is not a topological convergence; i.e., the lattice cannot be topologized so that nets o-converge if and only if they converge with respect ...
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Convergence Rate for the Ordered Upwind Method [PDF]
The Ordered Upwind Method (OUM) is used to approximate the viscosity solution of the static Hamilton-Jacobi-Bellman (HJB) with direction-dependent weights on unstructured meshes. The method has been previously shown to provide a solution that converges to the exact solution, but no convergence rate has been theoretically proven.
Alex Shum +2 more
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On the convergence of second-order spectra and multiplicity [PDF]
The notion of second-order relative spectrum of a self-adjoint operator acting on a Hilbert space has been studied recently in connection with the phenomenon of spectral pollution in the Galerkin method. In this paper we examine how the second-order spectrum encodes precise information about the multiplicity of the isolated eigenvalues of the ...
Boulton, L., Strauss, M.
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