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...

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

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

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

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

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

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...

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...

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

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

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

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

Transactions on Computers. C-17 (3): 214–229. doi:10.1109/tc.1968.229094. Bernstein's theorem on monotone functions Hausdorff moment problem Monotonic function...

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...

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

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

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...

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

Karl-Georg, "4.3 Kirchberger's Thesis", The History of Approximation Theory: From Euler to Bernstein, Boston: Birkhäuser, pp. 135–137, doi:10.1007/0-8176-4475-x_4...

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...

similar to the Gibbs phenomenon in Fourier series approximations. The Weierstrass approximation theorem states that for every continuous function f ( x...

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

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the...

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...

tests or approximations thereof. The asymptotic distribution of the log-likelihood ratio, considered as a test statistic, is given by Wilks' theorem. The...