Results 251 to 260 of about 8,449,626 (275)

On the Approximation by Linear Positive Operators

1970
This paper is concerned with some properties of linear positive operators which are in analogy with the well-known Bernstein operator. Let ℑ j (I j ), j = 1,2, denote two linear spaces of real functions defined on the sets I j , j = 1,2, of points of the real axis. Let L n :ℑ 1 (I 1 ) →ℑ 2 (I 2 ), n = 1,2,..., be a sequence of linear positive operators
openaire   +1 more source

Asymptotic formulae for positive linear operators.

Asymptotic formulae for sequences of approximating positive linear operators play an important role in the investigation of the corresponding saturation classes. As a consequence of the pioneering work of the first author it has been shown that asymptotic formulae are useful also in studying the representation of some semigroups of operators in terms ...
ALTOMARE, Francesco, AMIAR R.
openaire   +2 more sources

Degeneracy of positive linear operators

1998
A survey of results, obtained by the authors in the topic of degeneracy of positive linear operators, is given. It is shown that degeneracy is not only a privilege of Bernstein operators. Another type of generalization deals with multidimensional Bernstein polynomials over simplices.
KOCIC L, DELLA VECCHIA, Biancamaria
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A Korovkin-type theorem for sequences of positive linear operators on function spaces

Positivity, 2021
Abderraouf Dorai
exaly  

On the position of the space of representable operators in the space of linear operators

1997
The author studies complementability of the space \(R(L^1 (\lambda),Y)\) of representable operators in the space of all bounded operators \(L(L^1 (\lambda),Y)\). It is given a number of examples when \(R(L^1 (\lambda),Y)\) is complemented in \(L(L^1 (\lambda),Y)\), extending the known case \(Y=L^1 (\mu)\). For instance, when \(Y\) is a predual of a \(W^
openaire   +2 more sources

New estimates for the differences of positive linear operators

Numerical Algorithms, 2016
Ana Maria Acu, Ioan Rasa
exaly  

Positive linear operators which preserve x 2

Acta Mathematica Hungarica, 2003
J P King
exaly  

On an operator Kantorovich inequality for positive linear maps

Journal of Mathematical Analysis and Applications, 2013
Minghua Lin
exaly  

The Structure of a Positive Linear Integral Operator

Journal of the London Mathematical Society, 1974
openaire   +2 more sources

On the iterates of positive linear operators preserving the affine functions

Journal of Mathematical Analysis and Applications, 2010
Dumitru Mircea Ivan, Ioan Gavrea
exaly