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Approximation by positive linear operators
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Ioan Gavrea
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POSITIVE LINEAR OPERATORS IN SEMI-ORDERED LINEAR SPACES [PDF]
Tsuyoshi Andô
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A Class of Positive Linear Operators [PDF]
Let F[a, b] be the linear space of all real valued functions defined on [a, b]. A linear operator L: C[a, b] → F[a, b] is called positive (and hence monotone) on C[a, b] if L(f)≥0 whenever f≥0. There has been a considerable amount of research concerned with the convergence of sequences of the form {Ln(f)} to f where {Ln} is a sequence of positive ...
J. P. King
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Approximation Strategy by Positive Linear Operators [PDF]
Summary: Two important techniques to achieve the Jackson type estimation by Kantorovich type positive linear operators in \(L^p\) spaces are introduced in the present paper, and three typical applications are given.
Wei Xiao
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Tensor Products, Positive Linear Operators, and Delay-Differential Equations [PDF]
We develop the theory of compound functional differential equations, which are tensor and exterior products of linear functional differential equations. Of particular interest is the equation $\dot x(t)=-\alpha(t)x(t)-\beta(t)x(t-1)$ with a single delay,
Mallet-Paret, John, Nussbaum, Roger D.
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An analysis of the induced linear operators associated to divide and color models [PDF]
We study the natural linear operators associated to divide and color (DC) models. The degree of nonuniqueness of the random partition yielding a DC model is directly related to the dimension of the kernel of these linear operators.
Forsström, Malin Palö +1 more
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On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces [PDF]
In this work, generalizations of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.Comment: 12 pages.
Alomari, Mohammad W.
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Positive linear operators and summability [PDF]
Let {Ln} be a sequence of positive linear operators defined on C[a, b] of the form where xnk ∈ [a, b] for each k = 0, 1,…, n = 1, 2,…. The convergence properties of the sequences {Ln(f)} to for each f ∈ C[a, b] have been the object of much recent research (see e.g. [4], [8], [11], [13]).
King, J. P., Swetits, J. J.
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Note on Positive Linear Operators [PDF]
PROOF. Letf.-T*f and gn->g in C, and let an and I3n be the least numbers such that acxf. > gn and f.g1,>f, These exist by Lemma 1 and are positive since S is Archimedean, and 0(fn,, gn) = On satisfies ee9 =ana4n. Let 0= lim inf On. The case 0 =oo is trivial, since it imposes no restriction on O(f, g). Moreover, by restricting attention to a subsequence,
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Dobrushin ergodicity coefficient for Markov operators on cones, and beyond [PDF]
The analysis of classical consensus algorithms relies on contraction properties of adjoints of Markov operators, with respect to Hilbert's projective metric or to a related family of seminorms (Hopf's oscillation or Hilbert's seminorm).
Gaubert, Stéphane, Qu, Zheng
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