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An abstract version of the Korovkin approximation theorem

Publicationes Mathematicae Debrecen, 2006
Using 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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A Korovkin type approximation theorem in statistical sense

Studia Scientiarum Mathematicarum Hungarica, 2006
In 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

1992
In 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, 2003
correct 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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A Note on Operator Version of Korovkin Theorem

Results in Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arunkumar C S, Dumitru Popa
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FUZZY RANDOM KOROVKIN THEOREMS AND INEQUALITIES

2010
Here 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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Theorems of Korovkin and Stone-Weierstrass

1989
Let Δ = [a, b] be a closed interval in ℝ. The classical approximation theorem of Weierstrass (1885) asserts that any f ∈ C(Δ) can be approximated uniformly by polynomials, i.e., for any є > 0 there exists a polynomial Pє such that |f(x)–Pє (x) | < є holds for all x ∈ Δ.
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Theorems of Korovkin type

Mathematical Notes of the Academy of Sciences of the USSR, 1976
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Review on design factors of microbial fuel cells using Buckingham's Pi Theorem

Renewable and Sustainable Energy Reviews, 2020
Jer-Huan Jang   +2 more
exaly  

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