Results 1 to 10 of about 85,897 (260)

Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps

Axioms, 2023
We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj   +3 more sources

A Voronovskaya-type theorem for a positive linear operator [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity.
Alexandra Ciupa
doaj   +2 more sources

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. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu, Gülen Başcanbaz-Tunca, Ioan Rasa   +2 more
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Improvements of operator reverse AM-GM inequality involving positive linear maps

Journal of Inequalities and Applications, 2020
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim, Ilyas Ali, Muhammad Mushtaq   +2 more
doaj   +1 more source

The Generalized Inequalities via Means and Positive Linear Mappings [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we establish further improvements  of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
doaj   +1 more source

More on the extension of linear operators on Riesz spaces

Karpatsʹkì Matematičnì Publìkacìï, 2022
The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Means of positive linear operators

Mathematische Annalen, 1980
Tsuyoshi Ando
exaly   +2 more sources

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
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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
openaire   +2 more sources