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Bernstein-type Operators on a Triangle with One Curved Side
Mediterranean Journal of Mathematics, 2011The authors construct Bernstein-type operators, and their product and Boolean sum, for a triangle with one curved side. Their interpolation properties and the order of accuracy are studied. Moreover, using the modulus of continuity and Peano's theorem, respectively, the remainders of the corresponding approximation formulas are also studied.
Blaga, Petru +2 more
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Lower Estimates for Centered Bernstein-Type Operators
Constructive Approximation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pointwise approximation by Bernstein type operators in mobile interval
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hee Sun Jung +2 more
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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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q-Bernstein-Type Integral Operators
2013In order to approximate integrable functions on the interval [0,1], Kantorovich gave modified Bernstein polynomials. Later in the year 1967 Durrmeyer [58] considered a more general integral modification of the classical Bernstein polynomials, which were studied first by Derriennic [47].
Ali Aral, Vijay Gupta, Ravi P. Agarwal
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Bernstein type operators with a better approximation for some functions
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two Classes of Bernstein Type Operators
2004One of the most natural extensions of the Bernstein operators was made by H. Brass [17]. These operators are of the form $$ {{P}_{n}}(f,x): = \sum\limits_{{k = 0}}^{n} {f\left( {\frac{k}{n}} \right){{q}_{{n,k}}}(x),f \in F[0,1],x \in [0,1],n \in \mathbb{N},} $$ (5.1) where q n ,k are polynomials of degree n that are positive on the interval ...
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A Modified Robotic Manipulator Controller Based on Bernstein-Kantorovich-Stancu Operator
Micromachines, 2023Xingyu Wang, Qianqian Zhang
exaly
On multiplicativity of the Bernstein operator
Computers and Mathematics With Applications, 2011Gancho Tachev
exaly
A Proof of a Conjecture About the Asymptotic Formula of a Bernstein Type Operator
Results in Mathematics, 2016Marius-Mihai Birou
exaly

