Results 141 to 150 of about 336 (171)
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A note on the comparison of the Kantorovich and Moore theorems
Nonlinear Analysis: Theory, Methods & Applications, 1990An affine invariant form of Moore's theorem which gives sufficient conditions for existence and uniqueness of the solution to a finite system of nonlinear algebraic equations, is given. It is also shown that the above affine invariant form of Moore's theorem is at least as effective as the affine invariant form of the Kantorovich theorem in the sense ...
Shen, Zuhe, Wolfe, M. A.
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On the existence theorems of Kantorovich, Miranda and Borsuk
2004The theorems of Kantorovich, Miranda and Borsuk all give conditions on the existence of a zero of a nonlinear mapping. The authors concern themselves with relations between these theorems in terms of generality in the case that the mapping is finite-dimensional.
Alefeld, Götz +3 more
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Kantorovich-type theorems for generalized equations
2018To solve generalized equations of type \(0 \in f(x) + F(x)\) with \(f:X\rightarrow \mathbb R, F:X\Rightarrow Y\) , \(X,Y\) Banach spaces, \(f\) a continuous function, \(F\) a set-valued function with closed graph, \(f\) and \(F\) possibly nonsmooth, new Newton methods are given under convergence conditions of Kantorovich type, which means, that such ...
Cibulka, Radek +4 more
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A Direct Theorem for MKZ-Kantorovich Operator
Analysis Mathematica, 2018We 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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On the Existence Theorems of Kantorovich, Moore and Miranda
2001We show that the assumptions of the well-known Kantorovich theorem imply the assumptions of Miranda’s theorem, but not vice versa.
Alefeld, Götz +2 more
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On the comparison of a Kantorovich-type and Moore theorems
Journal of Applied Mathematics and Computing, 2008\textit{S. Zhue} and \textit{M. A. Wolfe} [Nonlinear Anal., Theory Methods Appl. 15, No.~3, 229--232 (1990; Zbl 0727.65045)] showed that the hypotheses of the affine invariant Moore theorem for solving nonlinear equations are always satisfied when those of the Kantorovich theorem hold, but not vice versa.
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Approximation theorems for complex Szász-Kantorovich operators
2013In this paper, the order of simultaneous approximation and Voronovskaja-type results with quantitative estimates for complex Szász-Kantorovich operators attached to analytic functions on compact disks are obtained. © 2013 by Eudoxus Press, LLC, all rights reserved.
Mahmudov, N. I., Kara, M.
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Converse theorems for multidimensional Kantorovich operators
Analysis Mathematica, 1993The author devotes most of the paper to a detailed treatment of direct and inverse theorems for Kantorovich type operators \(K_ n\) defined on \(L_ p(S)\) where \(S\) is the triangle \(\{(x,y): x,y\geq 0,\;x+ y\leq 1\}\) by \[ K_ n(f,x,y)= \sum_{k+ m\leq n} {n\choose k}{n-k\choose m} x^ k y^ m(1- x- y)^{n-k-m} 2(n+1)^ 2\iint_{\Delta_{k,m}} f(s,t)ds dt,
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On the Monge - Kantorovich duality theorem
Теория вероятностей и ее применения, 2000Doraiswamy Ramachandran +3 more
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Korovkin type theorem for Bernstein–Kantorovich operators via power summability method
Analysis and Mathematical Physics, 2020Naim L Braha, Braha Naim L
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