On error formulas for approximation by sums of univariate functions.

Ismailov, Vugar E.

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

Dihedral $f$ -tilings of the sphere by equilateral and scalene triangles. II.

d&amp;#039;Azevedo Breda, A.M., Ribeiro, Patrícia S., Santos, Altino F. (2008)

The Electronic Journal of Combinatorics [electronic only]

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Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.

D&amp;#039;Azevedo Breda, A.M., Ribeiro, Patrícia S., Santos, Altino F. (2008)

The Electronic Journal of Combinatorics [electronic only]

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Acyclic sets in $k$ -majority tournaments.

Milans, Kevin G., Schreiber, Daniel H., West, Douglas B. (2011)

The Electronic Journal of Combinatorics [electronic only]

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Poisson perturbations

Andrew D. Barbour, Aihua Xia (1999)

ESAIM: Probability and Statistics

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Spherical F-tilings by triangles and $r$ -sided regular polygons, $r \geq 5$ .

Avelino, Catarina P., Santos, Altino F. (2008)

The Electronic Journal of Combinatorics [electronic only]

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Dihedral $f$ -tilings of the sphere by rhombi and triangles.

Breda, Ana M., Santos, Altino F. (2005)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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An asymptotic approximation of Wallis’ sequence

Vito Lampret (2012)

Open Mathematics

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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, $W (n) \cdot (a_{n} + b_{n}) < π < W (n) \cdot (a_{n} + b_{n}^{'})$ with $a_{n} = 2 + \frac{1}{2 n + 1} + \frac{2}{3 {(2 n + 1)}^{2}} - \frac{1}{3 n {(2 n + 1)}^{'}} b_{n} = \frac{2}{33 {(n + 1)}^{2^{'}}} b_{n}^{'} \frac{1}{13 n^{2^{'}}} n \in ℕ$ .

Inclusion-exclusion redux.

Kessler, David, Schiff, Jeremy (2002)

Electronic Communications in Probability [electronic only]

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The remainder term in Fourier series and its relationship with the Basel problem.

Barrera-Figueroa, V., Lucas-Bravo, A., López-Bonilla, J. (2007)

Annales Mathematicae et Informaticae

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Stein's method and descents after riffle shuffles.

Fulman, Jason (2005)

Electronic Journal of Probability [electronic only]

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Large dimensional sets not containing a given angle

Viktor Harangi (2011)

Open Mathematics

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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)...