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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Composition and Decomposition of Positive Linear Operators (VIII) [PDF]
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 +2 more
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Improvements of operator reverse AM-GM inequality involving positive linear maps [PDF]
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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Use of identity of A. Hurwitz for construction of a linear positive operator of approximation
Journal of Numerical Analysis and Approximation Theory, 2002 By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\)
Dimitrie D. Stancu
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On the stability of some positive linear operators from approximation theory [PDF]
, 2015 Recently, Popa and Raşa have shown the stability/ instability of some classical operators defined on $$[0,1]$$[0,1] and obtained the best constant when the positive linear operators are stable in the sense of Hyers–Ulam.
M. Mursaleen +1 more
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Generalized Kantorovich modifications of positive linear operators
Mathematical Foundations of Computing, 2023 Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated.
A. Acu, Ioan Cristian Buşcu, I. Raşa
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Stability criteria for positive linear discrete-time systems [PDF]
Positivity (Dordrecht), 2020 We prove new characterisations of exponential stability for positive linear discrete-time systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have played an important role in the finite-dimensional systems theory, but are
Jochen Glück, A. Mironchenko
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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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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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