Results 21 to 30 of about 1,728,945 (251)
On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions
Nonlinear Analysis, 2004 In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
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Differential Evolution Optimized a Second-Order Divided Difference Particle Filter
Journal of Electrical and Computer Engineering, 2020 In order to improve the estimation accuracy of particle filter algorithm in a nonlinear system state estimation problem, a new algorithm based on the second-order divided difference filter to generate the proposed distribution and the differential ...
Ting Cao +3 more
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On maximal Kn domains for certain families of rational functions
Lietuvos Matematikos Rinkinys, 2008 Let Kn(D) be a class of analytic in domain D functions such that [F(z); z0,...,zn] for any z0,...,zn ∈ D. The domain D is called by maximal Kn-domain of the family T of functions which are analytic in D, if for any neighborhood ε(ψ) of any boundary ...
Jevgenij Kiriyatzkii, Eduard Kiriyatzkii
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Semilocal Convergence of the Extension of Chun’s Method
Axioms, 2021 In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero +4 more
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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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, 2005 Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.
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Extended Newton-type Method for Generalized Equations with Hölderian Assumptions
Communications in Advanced Mathematical Sciences, 2021 In the present paper, we consider the generalized equation $0\in f(x)+g(x)+\mathcal F(x)$, where $f:\mathcal X\to \mathcal Y$ is Fr\'{e}chet differentiable on a neighborhood $\Omega$ of a point $\bar{x}$ in $\mathcal X$, $g:\mathcal X\to \mathcal Y$ is ...
Mohammed Harunor Rashid +1 more
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Naming Differences in Divided Germany
Names, 2009 AbstractThis article analyzes differences in naming between East and West Germany. After World War II, Germany was split by the allied forces. Two Germanies emerged: the Federal Republic of Germany (FRG) and the German Democratic Republic (GDR). The country's division lasted about forty years (1949–1989), a time span in which vastly different geo ...
Huschka, D. +2 more
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Finitely defined functionals and divided differences
Journal of Numerical Analysis and Approximation Theory, 2004 We give a necessary and sufficient condition for representing finitely defined functionals in terms of divided differences. As particular cases we obtain formulas of Tiberiu Popoviciu, Newton, etc.
Mircea Ivan
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