Results 11 to 20 of about 830,215 (273)
Differences of Positive Linear Operators on Simplices [PDF]
Journal of Function Spaces, 2021 The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu +2 more
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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 the iterates of positive linear operators
Journal of Approximation Theory, 2011 Let \(U\) be a positive linear operator on \(C[0,1]\) that leaves the linear functions, \(P^1\), invariant. The paper presents a simple short proof of the following: Theorem: If there is a continuous function \(f\) such that \(Uf-f\) has no zeros in \((1,0)\) then \(U^k g\) converges to the projection onto \(P^1\) that interpolates to \(g\) at \(0 ...
Ioan Gavrea, Mircea Ivan
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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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The Approximation of a Modified Baskakov Operator
Journal of Mathematics, 2023 Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. The number of in-depth studies on linear operator approximation is extensive, and the majority of the published ...
Ma Yingdian, Wang Weimeng
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Operator system structures on ordered spaces [PDF]
, 2009 Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a maximal operator system OMAX(V), which are the analogues of the minimal and maximal operator spaces of a normed space.
Paulsen, Vern +2 more
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Certain integral inequalities involving tensor products, positive linear maps, and operator means
Journal of Inequalities and Applications, 2016 We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means.
Pattrawut Chansangiam
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Calculation of the Hidden Symmetry Operator in PT-Symmetric Quantum Mechanics [PDF]
, 2002 In a recent paper it was shown that if a Hamiltonian H has an unbroken PT symmetry, then it also possesses a hidden symmetry represented by the linear operator C. The operator C commutes with both H and PT.
Bender C M +12 more
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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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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
Mathematics, 2019 The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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