Results 11 to 20 of about 586,773 (264)
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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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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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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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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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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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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The Θ-transformation of certain positive linear operators
International Journal of Mathematics and Mathematical Sciences, 1996 The intention of this paper is to describe a construction method for a new sequence of linear positive operators, which enables us to get a pointwise order of approximation regarding the polynomial summator operators which have best properties of ...
Aleandru Lupaş, Detlef H. Mache
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