Results 241 to 250 of about 314,072 (276)

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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Weighted Statistical Relative Approximation by Positive Linear Operators

2018
In this paper we define weighted statistical relative uniform convergence by using weighted density and give a Korovkin-type approximation theorem. Then, we construct an example such that our new approximation result works but its weighted statistical and statistical (and classical) cases do not work.
Demirci, Kamil, Orhan, Sevda, Kolay, Burçak   +2 more
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On simultaneous approximation by certain linear positive operators

Archiv der Mathematik, 1987
Many approximation processes are based on operators defined for functions with an unbounded domain. Let L be a certain almost convex operator of order r-1 (r\(\in {\mathbb{N}})\), defined on a suitable subspace of \(C^ r(I)\), \(I=[a,\infty [\). The aim of the paper is to prove an estimate for the rth derivative \(| D^ rf(x)-D^ rLf(x)|\) in terms of ...
Knoop, Hans-Bernd, Pottinger, Peter
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Uniform approximation by positive operators on infinite intervals

Analysis Mathematica, 1984
Some general results on uniform convergence and saturation of positive operators are proved. The smoothness of the functions is measured by \(\omega_{\phi}(f,\delta)=\sup_{0\leq h\leq \delta_ ix}| \Delta^ 2_{h\phi (x)}f(x)|\) which allows one to obtain some estimates. Under very general conditions on the positive operators \(\{L_ n\}\) one has e.g. \(|
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Approximation theorems by positive linear operators in weighted spaces

Positivity, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Feilong, Liu, Yufang
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Approximation of positive functions by linear positive polynomial operators

2012
The class of continuous 2π-periodical functions f(x) which satisfy the inequality \( |f(x+h)+f(x-h)-2f(x)|\leq 2|h|^\alpha \,\,\,\,\, 0 < \alpha < 2 \)is denoted by Zα.
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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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Certain new investigations on approximation by positive linear operators

Journal of Soviet Mathematics, 1990
See the review in Zbl 0663.41024.
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APPROXIMATION BY LINEAR POSITIVE OPERATORS VIA SUMMABILITY METHOD

International Conference on Modern Problems of Mathematics, Mechanics and their Applications
Abstract. In this presentation, we investigate Korovkin type approximation properties of the some Bernstein type operators constructed via (p,q) calculus. We mention about power series statistical convergence of these operators and calculate rate of the convergence by means of modulus of continuity. Additionally, we provide examples for comparison with
Dilek Söylemez, Mehmet Ünver
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Approximation with arbitrary order by certain linear positive operators

Positivity, 2018
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