Results 11 to 20 of about 331,959 (146)
On the Kantorovich–Rubinstein theorem [PDF]
Expositiones Mathematicae, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D.A. Edwards, Edwards, D.A.
openaire +2 more sources
A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2011 In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca +1 more
doaj +3 more sources
A simplified proof of the Kantorovich theorem for solving equations using telescopic series [PDF]
Journal of Numerical Analysis and Approximation Theory, 2015 We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj +3 more sources
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core +6 more sources
A note on the Kantorovich theorem for Newton iteration [PDF]
Journal of Computational and Applied Mathematics, 1993 The paper discusses the convergence of the Newton method for a nonsingular solution of the nonlinear equation \(f(x) = 0\) with \(f: X \to Y\) two times differentiable and \(X\), \(Y\) are Banach spaces. Based on the information of the second derivatives of \(f\) at the initial point, the author gives a new criterion for the convergence of the Newton ...
Zhengda, Huang
openaire +2 more sources
Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators
Journal of Inequalities and Applications, 2020 In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
doaj +1 more source
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 +2 more
doaj +1 more source
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 +3 more
doaj +1 more source
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
openaire +1 more source
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 +1 more
openaire +3 more sources