Results 1 to 10 of about 8,054,877 (267)

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, Gülen Başcanbaz-Tunca, Ioan Rasa   +2 more
doaj   +2 more sources

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, Abdullah Alotaibi, Bipan Hazarika   +2 more
doaj   +2 more sources

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 ...
Mircea Ivan, Ioan Gavrea
exaly   +4 more sources

Summation process of positive linear operators

Computers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C Orhan
exaly   +4 more sources

Estimates for the Differences of Certain Positive Linear Operators

Mathematics, 2020
The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the ...
Ana Maria Acu, Sever Hodiş, Ioan Rașa
doaj   +3 more sources

Approximation by positive linear operators

Journal of Numerical Analysis and Approximation Theory, 1995
Not available.
Ioan Gavrea
doaj   +4 more sources

Composition and Decomposition of Positive Linear Operators (VIII)

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, Ioan Raşa, Andra Seserman   +2 more
doaj   +1 more source

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,
openaire   +2 more sources

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., DELLA VECCHIA, Biancamaria, FASSIH A.   +2 more
openaire   +3 more sources

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
openaire   +2 more sources