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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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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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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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A Class of Positive Linear Operators [PDF]
Canadian Mathematical Bulletin, 1968 Let F[a, b] be the linear space of all real valued functions defined on [a, b]. A linear operator L: C[a, b] → F[a, b] is called positive (and hence monotone) on C[a, b] if L(f)≥0 whenever f≥0. There has been a considerable amount of research concerned with the convergence of sequences of the form {Ln(f)} to f where {Ln} is a sequence of positive ...
J. P. King
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POSITIVE LINEAR OPERATORS IN SEMI-ORDERED LINEAR SPACES [PDF]
Hokkaido Mathematical Journal, 1957 Tsuyoshi Andô
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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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Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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Some generalizations of operator inequalities for positive linear maps
Journal of Inequalities and Applications, 2016 In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
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