Results 1 to 10 of about 585,417 (307)
Resolvent positive linear operators exhibit the reduction phenomenon. [PDF]
Proc Natl Acad Sci U S A, 2012 The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Altenberg L.
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Composition and Decomposition of Positive Linear Operators (VIII) [PDF]
Axioms, 2023 In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions.
Ana Maria Acu +2 more
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Completely positive linear operators for Banach spaces [PDF]
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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Asymptotic Behaviour of the Iterates of Positive Linear Operators [PDF]
Abstract and Applied Analysis, 2011 We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set.
Ioan Gavrea, Mircea Ivan
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Weighted A-Statistical Convergence for Sequences of Positive Linear Operators [PDF]
The Scientific World Journal, 2014 We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a
S. A. Mohiuddine +2 more
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The eigenstructure of some positive linear operators
Journal of Numerical Analysis and Approximation Theory, 2014 Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous ...
Antonio Attalienti, Ioan Raşa
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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.
Ana-Maria Acu +2 more
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Approximation Strategy by Positive Linear Operators [PDF]
Journal of Function Spaces and Applications, 2013 Summary: Two important techniques to achieve the Jackson type estimation by Kantorovich type positive linear operators in \(L^p\) spaces are introduced in the present paper, and three typical applications are given.
Wei Xiao
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Reverses of Young and Heinz inequalities for positive linear operators [PDF]
Journal of Inequalities and Applications, 2016 Let A, B be invertible positive operators on a Hilbert space H. We present some improved reverses of Young type inequalities, in particular, ( 1 − ν ) 2 ν ( A ∇ B ) + ( 1 − ν ) 2 ( 1 − ν ) H 2 ν ( A , B ) ≥ 2 ( 1 − ν ) ( A ♯ B ) $$ (1-\nu)^{2\nu}(A\nabla
S Malekinejad, S Talebi, AG Ghazanfari
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A Class of Positive Linear Operators [PDF]
Canadian Mathematical Bulletin, 1968 Let F[a, b] be the linear space of all real valued functions defined on [a, b]. A linear operator L: C[a, b] → F[a, b] is called positive (and hence monotone) on C[a, b] if L(f)≥0 whenever f≥0. There has been a considerable amount of research concerned with the convergence of sequences of the form {Ln(f)} to f where {Ln} is a sequence of positive ...
J. P. King
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