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Poisson approximation to the binomial distribution: extensions to the convergence of positive operators

RACSAM, 2022
The idea behind Poisson approximation to the binomial distribution was used in de la Cal and Luquin (J Approx Theory 68(3):322–329, 1992) and subsequent papers in order to establish the convergence of suitable sequences of positive linear operators.
A. Acu   +3 more
semanticscholar   +1 more source

Power Series of Positive Linear Operators

Mediterranean Journal of Mathematics, 2019
A 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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On Linear Positive Operators

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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Matrix Summability and Positive Linear Operators

Positivity, 2007
The 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, 1978
Properties (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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Historical Backround of wavelets and orthonormal systems: Recent results on positive linear operators reconstructed via wavelets

Modern Mathematical Methods
This survey paper provides a historical overview of wavelets and orthonormal systems, alongside recent findings related to linear positive operators reconstructed using wavelets.
H. Karsli
semanticscholar   +1 more source

Graphic Behavior of Positive Linear Operators

SIAM Journal on Applied Mathematics, 1971
The 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, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deo, Naokant, Dhamija, Minakshi
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On Linear Positive Operators

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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A Class of Positive Linear Operators

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 ...
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