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Convergence Properties of Certain Positive Linear Operators
Results in Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana-Maria Acu +2 more
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On positive linear interpolation operators
Analysis Mathematica, 1975В этой работе мы даем о бобщение понятия нор мальной системы точек, введен ного Фейером [3]. Наше определ ение включает и случа й бесконечного интерв ала (0, ∞).
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On a Class of Positive Linear Operators
Canadian Mathematical Bulletin, 1973In a recent paper [3] Meir and Sharma introduced a generalization of the Sα- method of summability. The elements of their matrix, (ank), are defined by(1)where is a sequence of complex numbers. if 0 < αj < l for each j = 0, 1, 2,… then ank≥0 for each n = 0, 1, 2,… and k = 0,1,2,…
Swetits, J., Wood, B.
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Positive Linear Isometries in Symmetric Operator Spaces
Integral Equations and Operator Theory, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sukochev, F., Veksler, A.
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The Lower Estimate for Linear Positive Operators (II)
Results in Mathematics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knoop, Hans-Bernd, Zhou, Xin-long
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Positive Quasi Linear Operator Formulation
AIP Conference Proceedings, 2005Expressions for the RF quasi‐linear operator are biquadratic sums over the Fourier modes (or FLR equivalent) that describe the RF electric field with a kernel that is a function of the two wave vectors, kL and kR, in the sum. As a result of either an implicit or explicit average over field lines or flux surfaces, this kernel only depends on one ...
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Asymptotic formulae for positive linear operators.
2002Asymptotic formulae for sequences of approximating positive linear operators play an important role in the investigation of the corresponding saturation classes. As a consequence of the pioneering work of the first author it has been shown that asymptotic formulae are useful also in studying the representation of some semigroups of operators in terms ...
ALTOMARE, Francesco, AMIAR R.
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Positive linear operators which preserve x 2
Acta Mathematica Hungarica, 2003The approximations of continuous functions \(f\) on \([0,1]\) by a sequence of positive linear operators \({L_n}\) always converge to \(f\) iff \(L_n\) preserve the three functions \(e_i(x)=x\), \(i=0,1,2\) (Korovkin theorem). Replacing the variable \(x\) in the Bernstein polynomials by some functions \(r_n(x)\) the author defines the operators \(L_n\)
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Θετική Επέκταση Γραμμικών Τελεστών
2011Σκοπός αυτής της εργασίας είναι η μελέτη και παρουσίαση του προβλήματος της θετικής επέκτασης ενός (θετικού) γραμμικού τελεστή. Μιλώντας για θετική επέκταση, εννοούμε γραμμική επέκταση ενός θετικού γραμμικού τελεστή από υπόχωρο ενός μερικά διατεταγμένου χώρου σε ολόκληρο τον χώρο.
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Degeneracy of positive linear operators
1998A survey of results, obtained by the authors in the topic of degeneracy of positive linear operators, is given. It is shown that degeneracy is not only a privilege of Bernstein operators. Another type of generalization deals with multidimensional Bernstein polynomials over simplices.
KOCIC L, DELLA VECCHIA, Biancamaria
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