Results 11 to 20 of about 336 (171)

The convergence theorem for fourth-order super-Halley method in weaker conditions

Journal of Inequalities and Applications, 2016
In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
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A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials

Journal of Function Spaces and Applications, 2013
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş, Bayram Çekim, Fatma Taşdelen   +2 more
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Convergence properties of generalized Lupaş-Kantorovich operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim, A. Khan, Z. Abbas, M. Mursaleen   +3 more
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The Krawczyk operator and Kantorovich's theorem

Journal of Mathematical Analysis and Applications, 1990
The paper deals with the comparison of Kantorovich's test for the existence of a solution of a system of nonlinear equations of the form \(F(x)=0\) and a modification of Moore's existence test based on the Krawczyk operator. The modification involves a suitable slope instead of the Jacobian matrix \(F'\) and is proved to require less computational work
Neumaier, Arnold, Zuhe, Shen
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On the Kantorovich–Rubinstein theorem

Expositiones Mathematicae, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kantorovich's Theorem on Newton's Method in Riemannian Manifolds

Journal of Complexity, 2002
This paper is concerned with the problem of finding a singularity of a vector field in a Riemannian manifold. The authors present an extension of Kantorovich's theorem on Newton's method for this problem in finite dimensional Riemannian manifolds.
Orizon Pereira Ferreira, Benar Fux Svaiter   +1 more
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Approximation Theorems for Generalized Complex Kantorovich‐Type Operators [PDF]

Journal of Applied Mathematics, 2012
The order of simultaneous approximation and Voronovskaja‐type results with quantitative estimate for complex q‐Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ ℂ : |z| < R}, R > q, the rate of approximation by the q‐Kantorovich ...
Nazim Idrisoglu Mahmudov, Mustafa Kara
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Finding good starting points for solving equations by Newton's method

Journal of Numerical Analysis and Approximation Theory, 2009
We study the problem of finding good starting points for the semilocal convergence of Newton's method to a locally unique solution of an operator equation in a Banach space setting.
Ioannis K. Argyros
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The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials

Advances in Mathematical Physics, 2018
We have constructed a new sequence of positive linear operators with two variables by using Szasz-Kantorovich-Chlodowsky operators and Brenke polynomials.
Behar Baxhaku, Ramadan Zejnullahu, Artan Berisha   +2 more
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Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
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