Results 21 to 30 of about 9,913,777 (289)
First order convergence of matroids [PDF]
European Journal of Combinatorics, 2017 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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About Convergence and Order of Convergence of Some Fractional Derivatives
Progress in Fractional Differentiation and Applications, 2022 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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Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space
Algorithms, 2022 A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods.
Ioannis K. Argyros +3 more
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Continuous Operators for Unbounded Convergence in Banach Lattices
Mathematics, 2022 Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
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On some computational orders of convergence
Applied Mathematics Letters, 2010 Two variants of the Computational Order of Convergence (COC) of an iterative method for solving nonlinear equations are presented. Furthermore, the way to approximate the COC and the new variants to the local order of convergence is analyzed. The new definitions given here does not involve the unknown root.
Miquel Grau-Sánchez +2 more
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Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
, 2015 We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting.
George, Santhosh +2 more
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The Equivalence of Two Modes of Order Convergence
MathematicsIt is well known that if a poset satisfies Property A and its dual form, then the o-convergence and o2-convergence in the poset are equivalent. In this paper, we supply an example to illustrate that a poset in which the o-convergence and o2-convergence ...
Tao Sun, Nianbai Fan
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Statistical convergence of order α in probability
Arab Journal of Mathematical Sciences, 2015 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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On “A new three-step fixed point iteration scheme with strong convergence and applications” [PDF]
This note delves into the convergence analysis of several iterative methods and elucidates their behaviors. Furthermore, we demonstrate that the findings presented in “A new three-step fixed point iteration scheme with strong convergence and applications”
Rafiq, Arif
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