In approximation theory, Bernstein's theorem is a converse to Jackson's theorem. The first results of this type were proved by Sergei Bernstein in 1912...

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

Bernstein's theorem on monotone functions Bernstein's theorem (approximation theory) Bernstein's theorem (polynomials) Bernstein's lethargy theorem Bernstein–von...

analysis) Taylor's theorem (calculus) Balian–Low theorem (Fourier analysis) Bernstein's theorem (approximation theory) Carleson's theorem (harmonic analysis)...

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...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

Natanovich Bernstein. Polynomials in this form were first used by Bernstein in a constructive proof of the Weierstrass approximation theorem. With the...

In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...

\epsilon _{i}} . Bernstein's theorem (approximation theory) S.N. Bernstein (1938). "On the inverse problem of the theory of the best approximation of continuous...

Bernstein, see Bernstein's theorem (approximation theory). "Constructive Theory of Functions". Telyakovskii, S.A. (2001) [1994], "Constructive theory...

The approximation is justified by the Bernstein–von Mises theorem, which states that, under regularity conditions, the error of the approximation tends...

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...

a trigonometric polynomial Bernstein's theorem (approximation theory) — a converse to Jackson's inequality Fejér's theorem — Cesàro means of partial sums...

theorem appears on p. 29. Laplace presented a refinement of Bayes' theorem in: Laplace (read: 1783 / published: 1785) "Mémoire sur les approximations...

called Jackson-type theorems. A converse to Jackson's inequality is given by Bernstein's theorem. See also constructive function theory. Achiezer (Akhiezer)...

In Bayesian inference, the Bernstein–von Mises theorem provides the basis for using Bayesian credible sets for confidence statements in parametric models...

Strzelecki, Michał (2022). "Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings". Journal of Approximation Theory. 277: 105736. arXiv:2103...

nodes greater than 14 (except 24). The spherical Bernstein's problem, a generalization of Bernstein's problem Carathéodory conjecture: any convex, closed...

extensions and applications of the theory of absolutely monotonic functions derive from theorems. Bernstein's little theorem: A function that is absolutely...

certain conditions. For some theories, a more complete model is known, but for practical use, the coarser approximation provides good results with much...

is given by the Berry–Esseen theorem, improvements of the approximation are given by the Edgeworth expansions. This theorem can also be used to justify...

incompatible with quantum physics. According to Bell's theorem, if nature actually operates in accord with any theory of local hidden variables, then the results...

Müntz–Szász theorem is a basic result of approximation theory, proved by Herman Müntz in 1914 and Otto Szász in 1916. Roughly speaking, the theorem shows to...

and weakly dependent random variables, including Bernstein inequalities and central limit theorems for these variables. She is a professor in the laboratory...

Cox's theorem, named after the physicist Richard Threlkeld Cox, is a derivation of the laws of probability theory from a certain set of postulates. This...

0 {\displaystyle P(B)\neq 0} . Although Bayes's theorem is a fundamental result of probability theory, it has a specific interpretation in Bayesian statistics...

set, with no bound on its length. So, the Solovay–Kitaev theorem shows that this approximation can be made surprisingly efficient, thereby justifying that...

Cornelius Lanczos showed that the Chebyshev polynomials are important in approximation theory for the solution of linear systems; the roots of Tn(x), which are...

Coupling from the past Integrated nested Laplace approximations Markov chain central limit theorem Metropolis-adjusted Langevin algorithm Robert, Christian;...

Banach–Mazur theorem Bounded linear operator Continuous linear extension Compact operator Approximation property Invariant subspace Spectral theory Spectrum...