Перевод: с английского на русский

с русского на английский

uniformly bounded sequence

См. также в других словарях:

  • Uniformly hyperfinite algebra — In operator algebras, a uniformly hyperfinite, or UHF, algebra is one that is the closure, in the appropriate topology, of an increasing union of finite dimensional full matrix algebras. C* algebras A UHF C* algebra is the direct limit of an… …   Wikipedia

  • Equidistributed sequence — In mathematics, a bounded sequence {s1, s2, s3, …} of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that interval. Such sequences are… …   Wikipedia

  • Cauchy sequence — In mathematics, a Cauchy sequence, named after Augustin Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses. To be more precise, by dropping enough (but still only a finite number of) terms from… …   Wikipedia

  • Low-discrepancy sequence — In mathematics, a low discrepancy sequence is a sequence with the property that for all values of N , its subsequence x 1, ..., x N has a low discrepancy.Roughly speaking, the discrepancy of a sequence is low if the number of points in the… …   Wikipedia

  • Almost convergent sequence — A bounded real sequence (x n) is said to be almost convergent to L if each Banach limit assignsthe same value L to the sequence (x n).Lorentz proved that (x n) is almost convergent if and only if:limlimits {p oinfty} frac{x {n}+ldots+x {n+p… …   Wikipedia

  • Arzelà–Ascoli theorem — In mathematics, the Arzelà–Ascoli theorem of functional analysis gives necessary and sufficient conditions to decide whether every subsequence of a given sequence of real valued continuous functions defined on a closed and bounded interval has a… …   Wikipedia

  • Helly's selection theorem — In mathematics, Helly s selection theorem states that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence. In other words, it is a compactness theorem for the space… …   Wikipedia

  • Littlewood's three principles of real analysis — are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis. The principlesLittlewood stated the principles in his 1944 Lectures on the Theory of Functions [cite book last=Littlewood first=J. E.… …   Wikipedia

  • Rellich-Kondrachov theorem — In mathematics, the Rellich Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Italian Austrian mathematician Franz Rellich. tatement of the theoremLet Ω ⊆ R n be an open, bounded Lipschitz domain,… …   Wikipedia

  • Equicontinuity — In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood (a precise definition appears below). More generally, equicontinuous applies to any… …   Wikipedia

  • Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …   Wikipedia

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»