Results 81 to 90 of about 911 (185)

New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials

مجلة بغداد للعلوم, 2015
Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)
Baghdad Science Journal
doaj   +1 more source

q-Bernstein polynomials and Bézier curves

Journal of Computational and Applied Mathematics, 2003
Bézier curve techniques are extended by using a generalization of the Bernstein basis, called the \(q\)-Bernstein basis. A one-parameter family of generalized Bernstein polynomial is defined. It is proved that the approximation to a convex function by its \(q\)-Bernstein polynomials is one sided. It is shown also that the difference of two consecutive \
Oruc, Halil, Phillips, Gm
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Direct Estimate for Bernstein Polynomials

Journal of Approximation Theory, 1994
The following pointwise approximation for the Bernstein polynomials \(B_ n (f,x)= \sum_{k=0}^ n {\binom nk} x^ k (1-x)^{n -k} f(k/n)\) are proved: \[ | B_ n (f,x)- f(x)|\leq C\omega^ 2_{\varphi^ \lambda} (f, n^{-1/2} \varphi (x)^{1- \lambda}), \qquad 0\leq \lambda\leq 1, \quad \varphi(x)^ 2= x(1-x).
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Some Identities on the Twisted (ℎ,𝑞)-Genocchi Numbers and Polynomials Associated with 𝑞-Bernstein Polynomials

International Journal of Mathematics and Mathematical Sciences, 2011
We give some interesting identities on the twisted (ℎ,𝑞)-Genocchi numbers and polynomials associated with 𝑞-Bernstein polynomials.
Seog-Hoon Rim, Sun-Jung Lee
doaj   +1 more source

A Study on the -Adic Integral Representation on Associated with Bernstein and Bernoulli Polynomials

Advances in Difference Equations, 2010
We consider the Bernstein polynomials on and investigate some interesting properties of Bernstein polynomials related to Stirling numbers and Bernoulli numbers.
Kim Won-Joo, Simsek Yilmaz, Jang Lee-Chae   +2 more
doaj  

Bernstein computational algorithm for integro-differential equations

Partial Differential Equations in Applied Mathematics
In this study, we introduce a computational algorithm for solving Integro-Differential Equations (IDEs) using Bernstein polynomials as basis functions.
Taiye Oyedepo, Ganiyu Ajileye, Abayomi Ayotunde Ayoade   +2 more
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Iterates of Bernstein polynomials [PDF]

Pacific Journal of Mathematics, 1967
Kelisky, R. P., Rivlin, T. J.
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Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj   +1 more source

Bernstein polynomials on Simplex

, 2011
8 ...
Bayad, A., Kim, T., Rim, S. -H.
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Deferred Bernstein polynomials [PDF]

Proceedings of the American Mathematical Society, 1951
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