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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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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 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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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 Braha
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