Results 11 to 20 of about 8,449,626 (275)
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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On summability and positive linear operators [PDF]
Journal of Approximation Theory, 1979 AbstractQuantitative estimates for approximation by positive linear operators are obtained with the use of a summability method which includes both convergence and almost convergence.
Swetits, J. J.
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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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Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities for commutators that complement and in some instances improve recent results obtained by F. Kittaneh in 'Inequalities for commutators of positive operators' (2007) and 'Norm inequalities for commutators of Hilbert space operators ...
Dragomir, Sever S
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Transformation of the second order modulus by positive linear operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
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New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
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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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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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Positive forms on Banach spaces [PDF]
, 2003 The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces.
Farkas, Bálint +3 more
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