Results 11 to 20 of about 585,417 (307)

Multi-Composite Activated Neural Networks Treated as Positive Linear Operators

Mathematics
Multi-composite activated neural network operators can be understood as positive linear operators, allowing them to be analyzed using standard, established theory.
George A. Anastassiou
doaj   +2 more sources

Approximation by positive linear operators

Journal of Numerical Analysis and Approximation Theory, 1995
Not available.
Ioan Gavrea
doaj   +4 more sources

POSITIVE LINEAR OPERATORS IN SEMI-ORDERED LINEAR SPACES [PDF]

Hokkaido Mathematical Journal, 1957
Tsuyoshi Andô
openaire   +4 more sources

Approximation of bounded functions by positive linear operators

Modern Mathematical Methods
A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\).
Jorge Bustamante
doaj   +3 more sources

Tensor Products, Positive Linear Operators, and Delay-Differential Equations [PDF]

, 2012
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.
core   +1 more source

On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces [PDF]

, 2018
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.
core   +3 more sources

An analysis of the induced linear operators associated to divide and color models [PDF]

, 2020
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, Steif, Jeffrey E.   +1 more
core   +2 more sources

Positive linear operators and summability [PDF]

Journal of the Australian Mathematical Society, 1970
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.
openaire   +2 more sources

Note on Positive Linear Operators [PDF]

Proceedings of the American Mathematical Society, 1965
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,
openaire   +2 more sources

Dobrushin ergodicity coefficient for Markov operators on cones, and beyond [PDF]

, 2013
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
core   +7 more sources