Results 211 to 220 of about 1,370 (242)

The Eigenstructure of Operators Linking the Bernstein and the Genuine Bernstein–Durrmeyer operators

Mediterranean Journal of Mathematics, 2013
In the present paper, the authors considered the eigenstructure of a class of one-parameter operators and defined as follows: let \(\mathcal{Q}>0\) and \(n\in \mathbb{N}_0=\left\{ {0,1,2,...} \right\},n\geq 1\), the operator \(U_n^\mathcal{Q}:C[0,1] \to \prod\nolimits_n \) expressed by \[ U_n^\mathcal{Q}\left( {f,x} \right): = \sum\limits_{k = 1}^{n ...
Gonska, Heiner, Rasa, Ioan, Stanila, Elena-Dorina   +2 more
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Approximation by Multivariate Bernstein Operators

Results in Mathematics, 1994
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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., Finta, Zoltán, Kumar, A. Sathish   +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., Goyal, Meenu, Kajla, Arun   +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, Kacso, Daniela, Rasa, Ioan   +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, Braha, Naim L., Kajla, Arun   +2 more
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