Results 21 to 30 of about 1,370 (242)
Better Uniform Approximation by New Bivariate Bernstein Operators
International Journal of Analysis and Applications, 2022 In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate ...
Asha Ram Gairola +4 more
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Bézier–Bernstein–Durrmeyer type operators
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kajla, Arun, Acar, Tuncer
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q-Bernstein-Schurer-Kantorovich Operators [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özarslan, Mehmet Ali, Vedi, Tuba
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Bernstein Operators for Exponential Polynomials [PDF]
Constructive Approximation, 2008 Let $L$ be a linear differential operator with constant coefficients of order $n$ and complex eigenvalues $λ_{0},...,λ_{n}$. Assume that the set $U_{n}$ of all solutions of the equation $Lf=0$ is closed under complex conjugation. If the length of the interval $[ a,b] $ is smaller than $π/M_{n}$, where $M_{n}:=\max \left\{| \text{Im}% λ_{j}| :j=0,...,n ...
Aldaz, J. M. +2 more
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Perturbed Bernstein-type operators [PDF]
Analysis and Mathematical Physics, 2020 The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.
Ana-Maria Acu, Heiner Gonska
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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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Some Bernstein–Durrmeyer-type operators [PDF]
Methods and Applications of Analysis, 1997 With a view to generalize Bernstein and Szász operators \textit{A. Meir} and \textit{A. Sharma} [Indag. Math. 29, 395-403 (1967; Zbl 0176.34801)] had introduced two linear positive operators, the first one being based on Laguerre polynomials while the second on Hermite polynomials.
Chen, Weiyu, Sharma, A.
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On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators
Journal of Function Spaces, 2020 In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
Abstract and Applied Analysis, 2011 Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
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