Results 11 to 20 of about 85,913 (260)
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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Some generalizations of operator inequalities for positive linear maps
Journal of Inequalities and Applications, 2016 In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
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The Strong Approximation by Linear Positive Operator In terms of the Averaged Modulus of Order One [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2014 In this work, we introduceBernst-ein linear positive operatorsB_(n,k) (f,x) in the space of all continuous functionsC_I where I=[0,1] with some properties of this operator so to find the strongapproxi- mation of continuous functions with the averaged ...
Zainab Esa Abdul Naby
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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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Physical Review Research, 2022 Positive operator valued measurements (POVMs) play an important role in efficient quantum communication and computation. While optical systems are one of the strongest candidates for long distance quantum communication and information processing ...
Jaskaran Singh, Arvind, Sandeep K. Goyal
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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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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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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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Weighted arithmetic–geometric operator mean inequalities
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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