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POSITIVE LINEAR OPERATORS IN SEMI.ORDERED LINEAR SPACES
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Power Series of Positive Linear Operators
Mediterranean Journal of Mathematics, 2019A unifying approach for studying the power series of the positive linear operators from a certain class of operators is described. The Bernstein, Durrmeyer, beta, Stancu, genuine Bernstein-Durrmeyer operators, the linking operators and the Kantorovich-type modification of these operators belong to this class of operators.
Tuncer Acar, Ali Aral, Ioan Raşa
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Journal of the London Mathematical Society, 1983
Soit L n (h;x)=Σ ∞k=0 a nk g n,k (x)h(k/n). On cherche g n,k (x) unique de facon que L n soit un operateur positif lineaire approchant h dans un certain ...
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Soit L n (h;x)=Σ ∞k=0 a nk g n,k (x)h(k/n). On cherche g n,k (x) unique de facon que L n soit un operateur positif lineaire approchant h dans un certain ...
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Matrix Summability and Positive Linear Operators
Positivity, 2007The continuous function \(\rho: \mathbb{R}\to\mathbb{R}\) is called weight function if \(\lim_{|x|\to\infty} \rho(x)=+\infty\) and \(\rho(x)\geq 1\) for all \(x\in\mathbb{R}\). The weighted space \(B_\rho\) contains the all real-valued functions \(f\) defined on \(\mathbb{R}\) for which \(|f(x)|\leq M_f\cdot\rho(x)\) for every \(x\in\mathbb{R}\) (\(M_f\
Atlihan, Özlem G., Orhan, Cihan
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Certain positive linear operators
Mathematical Notes of the Academy of Sciences of the USSR, 1978Properties (including the approximating ones) are investigated of positive linear operators Ln(f; x) for which the relation $$L_n \left( {\left( {t - x} \right)f\left( t \right); x} \right) = \frac{{\varphi \left( x \right)}}{n}L'_n \left( {f\left( t \right); x} \right)$$
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Graphic Behavior of Positive Linear Operators
SIAM Journal on Applied Mathematics, 1971The case g(z) 1_ yields the classical operators of Otto Szasz [5]. The operators Pn were introduced by Jakimovski and Leviatan [1], who proved certain approximation properties of Pn(f; x) for real x. The author [6] investigated approximation properties of Pn(f; z) for complex z, as well as variation-diminishing properties of the operators and ...
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Charlier–Szász–Durrmeyer type positive linear operators
Afrika Matematika, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deo, Naokant, Dhamija, Minakshi
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1964
Let C[a,b] denote the class of all real functions f(x) which, are defined and continuous on the closed interval [a,b] of the real x-axis and let C 2π denote the class of all real functions which are defined, continuous, and periodic with period 2π on the real axis (-∞,∞).
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Let C[a,b] denote the class of all real functions f(x) which, are defined and continuous on the closed interval [a,b] of the real x-axis and let C 2π denote the class of all real functions which are defined, continuous, and periodic with period 2π on the real axis (-∞,∞).
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