Displaying similar documents to “On error formulas for approximation by sums of univariate functions.”

Poisson perturbations

Andrew D. Barbour, Aihua Xia (1999)

ESAIM: Probability and Statistics

Similarity:

An asymptotic approximation of Wallis’ sequence

Vito Lampret (2012)

Open Mathematics

Similarity:

An asymptotic approximation of Wallis’ sequence W(n) = Πk=1n 4k 2/(4k 2 − 1) obtained on the base of Stirling’s factorial formula is presented. As a consequence, several accurate new estimates of Wallis’ ratios w(n) = Πk=1n(2k−1)/(2k) are given. Also, an asymptotic approximation of π in terms of Wallis’ sequence W(n) is obtained, together with several double inequalities such as, for example, W ( n ) · ( a n + b n ) < π < W ( n ) · ( a n + b n ' ) with a n = 2 + 1 2 n + 1 + 2 3 ( 2 n + 1 ) 2 - 1 3 n ( 2 n + 1 ) ' b n = 2 33 ( n + 1 ) 2 ' b n ' 1 13 n 2 ' n .

Inclusion-exclusion redux.

Kessler, David, Schiff, Jeremy (2002)

Electronic Communications in Probability [electronic only]

Similarity:

Large dimensional sets not containing a given angle

Viktor Harangi (2011)

Open Mathematics

Similarity:

We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...