Results 91 to 100 of about 171 (130)

Extension of Saturation Theorems for the Sampling Kantorovich Operators

Complex Analysis and Operator Theory, 2018
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Benedetta Bartoccini, Danilo Costarelli, Gianluca Vinti   +2 more
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A Direct Theorem for MKZ-Kantorovich Operator

Analysis Mathematica, 2018
We characterize the approximation of functions in Lp norm by Kantorovich modification of the classical Meyer-Konig and Zeller operator. By defining an appropriate K-functional we prove a direct theorem for it.
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Extensions of Kantorovich theorem to complementarity problem

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2008
AbstractThe Kantorovich theorem is extended to Newton‐Josephy method for solving nonlinear complementarity problem. All the convergence conditions established in this article can be tested in the digital computer.
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Ergodic theorems for contractions in Orlicz-Kantorovich lattices

Siberian Mathematical Journal, 2009
We obtain some versions of ergodic theorems for positive contractions in the Orlicz-Kantorovich lattices L M (m) associated with a measure m taking values in the algebra of measurable real functions. The proof is carried out by representing L M (m) as measurable bundles of classical Orlicz function spaces.
B. S. Zakirov, V. I. Chilin
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Kantorovich’s Theorem on Mann’s Iteration Method in Riemannian Manifold

Acta Mathematica Vietnamica
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Babita Mehta, P. K. Parida, Sapan Kumar Nayak   +2 more
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Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points

Proceedings of the Steklov Institute of Mathematics, 2019
The authors prove existence and uniqueness of fixed points of a self-mapping on a complete metric space, generalizing and improving the well-known Kantorovich's fixed point theorem in the setting of Banach spaces. Besides of a standard self-mapping, the authors also obtain coincidence point theorems for set-valued mappings on metric spaces.
Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.   +2 more
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A GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH

Numerical Functional Analysis and Optimization, 2002
ABSTRACT In this paper, we discuss the theorems of Newton–Kantorovich, the Theorem of Miranda, and the relationship between them. We begin by generalizing Miranda's theorem and propose a converse. Then we show that mappings satisfying the assumptions of the Theorem of Newton–Kantorovich in a strong sense automatically satisfy those of our ...
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Glivenko–Cantelli Theorem and Bernstein–Kantorovich Invariance Principle

2012
This chapter begins with an application of the theory of probability metrics to the problem of convergence of the empirical probability measure.
Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank J. Fabozzi   +3 more
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A kantorovich-type theorem for inexact newton methods

Numerical Functional Analysis and Optimization, 1989
Under Kantorovich-type assumptions, a general convergence theorem for inexact Newton methods (i.e., iterative procedures in which the Newton equations are solved approximately) is given. The results cover several situations already considered in the literature.
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A Comparison of the Existence Theorems of Kantorovich and Moore

SIAM Journal on Numerical Analysis, 1980
In order to be useful, an approximate solution y of a nonlinear system of equations $f(x) = 0$ in $R^n $ must be close to a solution $x^ * $ of the system. Two theorems which can be used computationally to establish the existence of $x^ * $ and obtain bounds for the error vector $y - x^ * $ are the 1948 result of L. V. Kantorovich and the 1977 interval
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