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The order of approximation by positive linear operators

open access: yesThe order of approximation by positive linear operators
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Approximation of Unbounded Functions by Linear Positive Operators

Mathematische Nachrichten, 1996
AbstractA unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. Theory, 1984) and Xiehua Sun (J. Approx. Theory, 1988).
Kasana, H. S., Sollervall, H.
exaly   +2 more sources

Statistical Approximation of Positive Linear Operators

2014
In this chapter, we present some Korovkin-type approximation theorems for functions of two variables via statistical convergence, A-statistical convergence, and statistical A-summability. We also study rates of A-statistical convergence of a double sequence of positive linear operators.
S A Mohiuddine   +2 more
exaly   +2 more sources

On the approximation of positive operators and the behaviour of the spectra of the approximants

Integral Equations and Operator Theory, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Räbiger, Frank, Wolff, Manfred P. H.
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Strong Approximation of Functions by Positive Operators

Journal of Mathematical Sciences, 2016
The paper is concerned with approximation of continuous functions, defined on the real axis, by positive linear operators of integral type and by generalized Bernstein operators. Quantitative results, expressed in terms of moduli of continuity, are obtained. Some results of \textit{V. Zhu} and \textit{G. Natanson} [Uch. Zap. Tartu. Gos. Univ.
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On the Approximation by Linear Positive Operators

1970
This paper is concerned with some properties of linear positive operators which are in analogy with the well-known Bernstein operator. Let ℑ j (I j ), j = 1,2, denote two linear spaces of real functions defined on the sets I j , j = 1,2, of points of the real axis. Let L n :ℑ 1 (I 1 ) →ℑ 2 (I 2 ), n = 1,2,..., be a sequence of linear positive operators
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Approximation by Positive Sublinear Operators

2018
Here we study the approximation of functions by positive sublinear operators under differentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of ...
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