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The Genuine Bernstein–Durrmeyer Operators Revisited
Results in Mathematics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gonska, Heiner +2 more
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Higher order limit q-Bernstein operators
Mathematical Methods in the Applied Sciences, 2011Summary: We give the estimates of the central moments for the limit \(q\)-Bernstein operators. We introduce the higher order generalization of the limit \(q\)-Bernstein operators and using the moment estimations study the approximation properties of these newly defined operators.
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Higher-Order Bernstein–Kantorovich Operators
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023null Anjali, Vijay Gupta
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Higher order $$\alpha $$-Bernstein–Kantorovich operators
Journal of Applied Mathematics and ComputingBernstein polynomials \(B_n(\xi,\kappa)=\sum_{i=0}^n\xi(\frac{i}{n})P_{n,i}(\kappa),\ P_{n,i}(\kappa)=\binom{n}{i}\kappa ^i(1-\kappa)^{n-i},\ \kappa \in[0,1]\) play a significant role in approximation theory. To improve the convergence properties of these polynomials, first \(P_{n,i}\) was replaced by depending on some parameter \(\alpha\) polynomials \
Yadav, Jyoti +2 more
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