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Filomat
In this paper, we consider Meyer-K?nig and Zeller (MKZ) operators defined in the prism. We prove a new Korovkin type theorem by using appropriate auxiliary test function and investigate the uniform approximation of these operators. We obtain the order of
M. Özarslan, Mustafa Kara
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In this paper, we consider Meyer-K?nig and Zeller (MKZ) operators defined in the prism. We prove a new Korovkin type theorem by using appropriate auxiliary test function and investigate the uniform approximation of these operators. We obtain the order of
M. Özarslan, Mustafa Kara
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An extension of Korovkin theorem via power series method
Advances in Operator Theory, 2022S. Yıldız, N. Ş. Bayram
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An abstract version of the Korovkin approximation theorem
Publicationes Mathematicae Debrecen, 2006Using the \(A\)-statistical convergence, the authors establish first an analog of King's theorem, see \textit{J. P. King} [Acta Math. Hungar., 99, 203--208 (2003; Zbl 1027.41028)]. The main result of the paper is an abstract version of the Korovkin theorem, expressed in terms of statistical convergence. It is contained in Theorem 3.1.
Duman, Oktay, Orhan, Cihan
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Operator version of Korovkin theorem; Degree of convergence and application to Preconditioners
Journal of Mathematical Analysis and Applications, 2022V. B. Kiran Kumar, P. C. Vinaya
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Sarajevo Journal of Mathematics
The aim of this paper is to present Korovkin theorems for positive linear operators of two variables from $H_{\omega }\left( K\right) $ into $%C_{B}\left( K\right) $ via the power series method.
Ebru Altiparmak, Ö. G. Atlihan
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The aim of this paper is to present Korovkin theorems for positive linear operators of two variables from $H_{\omega }\left( K\right) $ into $%C_{B}\left( K\right) $ via the power series method.
Ebru Altiparmak, Ö. G. Atlihan
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A Korovkin type approximation theorem in statistical sense
Studia Scientiarum Mathematicarum Hungarica, 2006In this study, using the concept of A-statistical convergence we investigate a Korovkin type approximation result for a sequence of positive linear operators defined on the space of all continuous real valued functions on any compact subset of the real m-dimensional space.
Duman, Oktay, Erkuş,Duman, Esra
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Korovkin Theorems For Vector-Valued Continuous Functions
1992In this paper we consider some Korovkin type results in the space of continuous functions with values in a fixed locally convex space; we give some conditions which generalize in a natural way those well-known for continuous real-valued functions.
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Proofs of Korovkin's Theorems via Inequalities
The American Mathematical Monthly, 2003correct answer (particularly for weaker contestants) seems a good idea. The author recently learned that Paul Coe of Dominican University announced similar results in his January 7, 2002 talk at the Joint Mathematics Meetings in San Diego. See http://www.ams.org/amsmtgs/2049_abstracts/973-tl-634.pdf for his talk announcement, dated September 15, 2001 ...
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FUZZY RANDOM KOROVKIN THEOREMS AND INEQUALITIES
2010Here we study the fuzzy random positive linear operators acting on fuzzy random continuous functions. We establish a series of fuzzy random Shisha–Mond type inequalities of L q -type 1 ≤ q < ∞ and related fuzzy random Korovkin type theorems, regarding the fuzzy random q-mean convergence of fuzzy random positive linear operators to the fuzzy random unit
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
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