Results 1 to 10 of about 8,645,321 (278)
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
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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
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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 ...
Dumitru Mircea Ivan, Ioan Gavrea
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Summation Process of Positive Linear Operators
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C Orhan
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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. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu +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 +2 more
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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
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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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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
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