Results 11 to 20 of about 587,156 (263)
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.
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On the Monotonicity of Positive Linear Operators
Journal of Approximation Theory, 1998 The main result of this paper concerns positive linear approximation operators of the so-called Feller type \[ K_n(f,x): =Ef(T_{n,x}) =\int_I f(t)dG_{n,x} (t),\;n\in\mathbb{N}, \] where the random variable \(T_{n,x}\) is the arithmetic mean of identically distributed random variables \(X_{i,x}\), \(I=1, \dots, n\) taking values in an interval \(I\) and
KHAN M. K. +2 more
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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.
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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,
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G-Convergence of Dirac Operators [PDF]
, 2012 We consider the linear Dirac operator with a (-1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for positive self-adjoint operators in Hilbert spaces we prove G-compactness in ...
Almanasreh, Hasan, Svanstedt, Nils
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A generalization of Kantorovich operators for convex compact subsets [PDF]
, 2016 In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability ...
Altomare, Francesco +3 more
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Nonparametric identification of positive eigenfunctions [PDF]
, 2014 Important features of certain economic models may be revealed by studying positive eigenfunctions of appropriately chosen linear operators. Examples include long-run risk-return relationships in dynamic asset pricing models and components of marginal ...
Christensen, Timothy
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Power Series of Positive Linear Operators
Mediterranean Journal of Mathematics, 2019 A unifying approach for studying the power series of the positive linear operators from a certain class of operators is described. The Bernstein, Durrmeyer, beta, Stancu, genuine Bernstein-Durrmeyer operators, the linking operators and the Kantorovich-type modification of these operators belong to this class of operators.
Tuncer Acar, Ali Aral, Ioan Raşa
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Completely positive linear operators for Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1994 Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
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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
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