of numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after...

mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Joseph Bernstein (1971) and Mikio...

In mathematics, Bernstein's theorem is an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus...

oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation...

analysis) Bernstein inequalities in probability theory Bernstein polynomial Bernstein's problem Bernstein's theorem (approximation theory) Bernstein's theorem...

(mathematics) Bernstein polynomial Characteristic polynomial Minimal polynomial Invariant polynomial Abel polynomials Actuarial polynomials Additive polynomials All...

In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a...

mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50...

analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier curves, named after its inventor Paul de Casteljau...

Bernstein polynomials is outlined on that page. For differentiable functions, Jackson's inequality bounds the error of approximations by polynomials of...

function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields...

\lfloor n/2\rfloor } . The radial polynomial may therefore be expressed by a finite number of Bernstein Polynomials with rational coefficients: R n m...

computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is...

Mathématique de France, Paris, ISBN 978-2-85629-878-7, MR 0751966 Bernstein–Sato polynomial Bernstein–Gelfand–Gelfand resolution A Refugee at Harvard — Harvard's...

at those boundaries. The "Bernstein" column shows the decomposition of the Hermite basis functions into Bernstein polynomials of order 3: B k ( t ) = (...

In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through...

the mathematicians who have worked on orthogonal polynomials include Gábor Szegő, Sergei Bernstein, Naum Akhiezer, Arthur Erdélyi, Yakov Geronimus, Wolfgang...

mathematics, Bernstein's theorem may refer to: Bernstein's theorem about the Sato–Bernstein polynomial Bernstein's problem about minimal surfaces Bernstein's theorem...

Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes...

The Chebyshev polynomials are two sequences of orthogonal polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)}...

{\displaystyle B_{i}^{n}(u)={n \choose i}u^{i}(1-u)^{n-i}} is a basis Bernstein polynomial, and ( n i ) = n ! i ! ( n − i ) ! {\displaystyle {n \choose i}={\frac...

more sophisticated applications of multiplexers include serving as Bernstein polynomial function generator, capable of producing arbitrary mathematical functions...

theory, a Kazhdan–Lusztig polynomial P y , w ( q ) {\displaystyle P_{y,w}(q)} is a member of a family of integral polynomials introduced by David Kazhdan...

S2CID 53338058. Hanson, T.; de Carvalho, M.; Chen, Yuhui (2017). "Bernstein polynomial angular densities of multivariate extreme value distributions" (PDF)...

geometry and mathematical physics Sergey Bernstein, developed the Bernstein polynomial, Bernstein's theorem and Bernstein inequalities in probability theory...

uniformly by polynomials, or certain other function spaces Approximation by polynomials: Linear approximation Bernstein polynomial — basis of polynomials useful...

Akansu, A Generalized Parametric PR-QMF Design Technique Based on Bernstein Polynomial Approximation, IEEE Trans. Signal Process., pp. 2314–2321, July 1993...

analysis, and expanding on the work of Sato and Joseph Bernstein on the Bernstein–Sato polynomial. Early major results were the Kashiwara constructibility...

independent but not necessarily identically distributed random variables Bernstein polynomial L-estimator – linear combinations of order statistics Rank-size distribution...

The Bernstein–Kushnirenko theorem (or Bernstein–Khovanskii–Kushnirenko (BKK) theorem), proven by David Bernstein and Anatoliy Kushnirenko [ru] in 1975...