Results 21 to 30 of about 830,132 (317)
Mathematics, 2022 We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
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Entropy dissipation estimates for the linear Boltzmann operator [PDF]
, 2015 We prove a linear inequality between the entropy and entropy dissipation functionals for the linear Boltzmann operator (with a Maxwellian equilibrium background).
Bisi, Marzia +2 more
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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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Positive linear operators and summability [PDF]
Journal of the Australian Mathematical Society, 1970 Let {Ln} be a sequence of positive linear operators defined on C[a, b] of the form where xnk ∈ [a, b] for each k = 0, 1,…, n = 1, 2,…. The convergence properties of the sequences {Ln(f)} to for each f ∈ C[a, b] have been the object of much recent research (see e.g. [4], [8], [11], [13]).
King, J. P., Swetits, J. J.
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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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Projections in operator ranges [PDF]
, 2005 If $\H$ is a Hilbert space, $A$ is a positive bounded linear operator on $\cH$ and $\cS$ is a closed subspace of $\cH$, the relative position between $\cS$ and $A^{-1}(\cS \orto)$ establishes a notion of compatibility. We show that the compatibility of $(
Corach, Gustavo +2 more
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The Strong Approximation by Linear Positive Operator In terms of the Averaged Modulus of Order One [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2014 In this work, we introduceBernst-ein linear positive operatorsB_(n,k) (f,x) in the space of all continuous functionsC_I where I=[0,1] with some properties of this operator so to find the strongapproxi- mation of continuous functions with the averaged ...
Zainab Esa Abdul Naby
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Operator system structures on ordered spaces [PDF]
, 2009 Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a maximal operator system OMAX(V), which are the analogues of the minimal and maximal operator spaces of a normed space.
Paulsen, Vern +2 more
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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,
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