Results 11 to 20 of about 1,836,288 (255)
Multivariate Divided Differences. I: Basic Properties
SIAM Journal on Numerical Analysis, 1992 Within the theory of spline functions, there is always great interest in divided differences, since they provide one possibility to define \(B\)- splines, i.e. splines with minimal support. In the paper under consideration, which is part of the author's doctoral thesis, a new type of generalization of the univariate divided differences to the ...
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Generalized Iterative Method of Order Four with Divided Differences
Foundations, 2023 Numerous applications from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean multidimensional, Hilbert, or Banach, to mention a few.
Samundra Regmi +2 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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Mathematics, 2019 We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover,
Ioannis Argyros +2 more
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Local convergence for composite Chebyshev-type methods
Communications in Advanced Mathematical Sciences, 2018 We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast ...
Santhosh George, İoannis K Argyros
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Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
Computation, 2020 The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences ...
Ioannis K. Argyros +2 more
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The tests of the belonging of functions to the classes Fn(D) and Qn(D)
Lietuvos Matematikos Rinkinys, 2021 In the work with the aid of the divided and finite differences are introduced classes Fn(D) and Qn(D) of functions holomorphic in region D. Different properties of functions from these classes are studied, the tests of the belonging of functions to the ...
Jevgenijus Kirjatskis +1 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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Further Properties of Quantum Spline Spaces
Mathematics, 2020 We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces.
Gülter Budakçı, Halil Oruç
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A divided difference expansion of a divided difference
Journal of Approximation Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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