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On genuine $q$-Bernstein--Durrmeyer operators

Publicationes Mathematicae Debrecen, 2010
Summary: We introduce genuine \(q\)-Bernstein-Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of the modulus of continuity. Furthermore, we study some direct results for the genuine \(q\)-Bernstein-Durrmeyer operators.
Mahmudov, Nazim I., Sabancigil, Pembe
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Bivariate q-Bernstein-Schurer-Kantorovich Operators

Results in Mathematics, 2014
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Agrawal, P. N.   +2 more
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q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
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Agrawal, P. N.   +2 more
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Asymptotic Properties of Bernstein–Durrmeyer Operators

Results in Mathematics, 2015
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Xu, Xiao-Wei, Zeng, Xiao-Ming
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The Genuine Bernstein–Durrmeyer Operators Revisited

Results in Mathematics, 2012
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Gonska, Heiner   +2 more
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Higher order limit q-Bernstein operators

Mathematical Methods in the Applied Sciences, 2011
Summary: 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, 2023
null Anjali, Vijay Gupta
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Higher order $$\alpha $$-Bernstein–Kantorovich operators

Journal of Applied Mathematics and Computing
Bernstein 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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