Results 11 to 20 of about 51,943 (246)
Approximation properties of λ-Bernstein operators. [PDF]
J Inequal Appl, 2018 In this paper, we introduce a new type λ-Bernstein operators with parameter [Formula: see text], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions, we also obtain a Voronovskaja-type asymptotic formula.
Cai QB, Lian BY, Zhou G.
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Bernstein-Schurer bivariate operators
Journal of Numerical Analysis and Approximation Theory, 2004 The sequence of bivariate operators of Bernstein-Schurer is constructed and some approximation properties of this sequence are studied.
Dan Bărbosu
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Genuine modified Bernstein–Durrmeyer operators [PDF]
Journal of Inequalities and Applications, 2018 The present paper deals with genuine Bernstein-Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text]-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss-Voronovskaya type theorem in quantitative mean are discussed.
Syed Abdul Mohiuddine +2 more
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Differentiated Bernstein type operators
Dolomites Research Notes on Approximation, 2020 1. The second author has been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 1002 -Project 119F191 and the third author would like to thank to TUBITAK for their financial supports during his PhD studies.
Aral, Ali, Acar, Tuncer, Ozsarac, Firat
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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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Approximation by Genuine $q$-Bernstein-Durrmeyer Polynomials in Compact Disks in the case $q > 1$ [PDF]
, 2014 This paper deals with approximating properties of the newly defined $q$-generalization of the genuine Bernstein-Durrmeyer polynomials in the case $q>1$, whcih are no longer positive linear operators on $C[0,1]$. Quantitative estimates of the convergence,
Mahmudov, Nazim I.
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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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