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Positive linear operators and exponential functions
Mathematical Foundations of Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana Maria Acu, Ioan Rasa, Andra Seserman
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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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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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A Class of Positive Linear Operators
Canadian Mathematical Bulletin, 1968Let 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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On a Sequence of Linear and Positive Operators
Results in Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Composition and Decomposition of Positive Linear Operators (V)
Results in Mathematics, 2010This note discusses the indecomposability and decomposability of certain operators occurring frequently in approximation theory: piecewise linear interpolation and Bernsteintype operators. The second topic includes the central (absolute) moments of the composition of two operators and their asymptotic behavior.
Heiner Gonska, Ioan Raşa
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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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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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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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