Results 111 to 120 of about 189,197 (211)

Bernstein polynomials on Simplex

8 pagesInternational audienceWe prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials for every continuous functions on simplex ...
Rim, S. -H., Kim, T., Bayad, Abdelmejid
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Bernstein polynomials and learning theory

Journal of Approximation Theory, 2004
Let \(f(x)= -x\log x- (I- x)\log(1 - x)\) for \(0\leq x\leq 1\); it is referred to as the entropy function. Let \(B_n[f]\) denote the nth Bernstein polynomial of \(f\). One half of the paper establishes the estimates \[ f(x)- B_n[f](x)\geq {1\over 2n}+ {1\over 20n^2 x(1-x)}- {1\over 12n^2}\text{ for }{15\over n}\leq x\leq 1-{15\over n}, \] \[ \lim_{n ...
Dietrich Braess, Tomas Sauer
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Bernstein polynomials and Milnor algebras [PDF]

Proceedings of the National Academy of Sciences, 1976
Let f be an analytic germ on C n +1 . Then there is an analytic linear partial differential operator P with polynomial dependence on
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Generalized Bernstein Polynomials

, 2014
Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2014. Supervisor: Assoc. Prof. Dr.
Ustaoğlu, Ceren
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Iterates of Bernstein polynomials [PDF]

Pacific Journal of Mathematics, 1967
Kelisky, R. P., Rivlin, T. J.
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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

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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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
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Bernstein polynomials and bernstein power series

, 1964
PFollowing G.G.Lorentz\u27s book, Bernstein Polynomials, we develop in the first part of this paper the basic properties of the polynomials in the real and complex domains.

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Flexible Functional Forms Bernstein Polynomials [PDF]

Motivated by the economic theory of cost functions, bivariate Bernstein polynomials are considered for approximating shape-restricted functions that are continuous, non-negative, monotone non-decreasing, concave, and homogeneous of degree one.
Pok Man Chak, Neal Madras, J. Barry Smith   +2 more
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