Results 221 to 230 of about 1,061 (255)
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Two families of Bernstein–Durrmeyer type operators
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Cardenas-Morales, Vijay Gupta
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On approximation by a class of new Bernstein type operators
Applied Mathematics and Computation, 2008The authors introduce some discrete, respectively integral, operators representing modifications of the classical Bernstein operators. They establish Voronovskaya type formulae and obtain estimates of the error in simultaneous approximation by linear combinations of the new operators.
Naokant Deo, Muhammad Aslam Noor
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$$\alpha $$-Bernstein-Integral Type Operators
Bulletin of the Iranian Mathematical Society, 2023The authors consider modified \(\alpha\)-summation integral type operators which are defined using \(\alpha\)-continuous functions that remain strictly positive throughout its domain. The operator defined in (1.1) is extended from \(C[0,1]\) to integrable type functions on \([0,1]\). This operator is defined in (1.2).
Jyoti Yadav +3 more
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On the approximation by operators of Bernstein–Stancu types
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meilin Wang, Dansheng Yu, Ping Zhou
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Convergence in Variation for Bernstein-Type Operators
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bascanbaz-Tunca, Gulen +1 more
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Approximation of Functions by a Bernstein-Type Operator
Canadian Mathematical Bulletin, 1972Various generalizations of the Bernstein operator, defined on C[0, 1] by the relation1.1wherehave been given. Note that bnk(x) is the well-known binomial distribution.
Pethe, S. P., Jain, G. C.
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A Bernstein type inequality for the Askey–Wilson operator
Journal of Approximation Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Li 0022 +1 more
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Approximation properties of Bernstein–Durrmeyer type operators
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Cárdenas-Morales +2 more
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Bernstein-type operators in Chebyshev spaces
Numerical Algorithms, 2009Let \(I\) denote a real interval with a non-empty interior. An \((n+1)\)-dimensional space \(E_n\subset C^n(I)\) is said to be an extended Chebyshev space on \(I\) if any non-zero element of \(E_n\) vanishes at most \(n\) times in \(I\), counting multiplicities as far as possible for \(C^n\) functions, that is, up to \((n+1)\).
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Exponential-Type or Bernstein-Type Operators
1987Relations between the rate of convergence of several well-known and much studied approximation operators and the modulus presented in this book will be studied. Earlier partial results on the subject were important for motivating the investigation of ω ϕ r (f,t) p . Results given in detail in this chapter are new.
Z. Ditzian, V. Totik
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