Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Gebelein's inequality and its consequences

100%

Beśka M., Ciesielski Z.

Banach Center Publications

2006

tom 72

nr 1

11-23

Let $(X_i, i=1,2,...)$ be the normalized gaussian system such that $X_i ∈ N(0,1)$, i = 1,2,... and let the correlation matrix $ρ_{ij} = E(X_iX_j)$ satisfy the following hypothesis: $C = sup_{i≥1} ∑_{j=1}^{∞} |ρ_{i,j}| < ∞$. We present Gebelein's inequality and some of its consequences: Borel-Cantelli type lemma, iterated log law, Levy's norm for the gaussian sequence etc. The main result is that (f(X₁) + ⋯ + f(Xₙ))/n → 0 a.s. for f ∈ L¹(ν) with (f,1)_ν = 0.

Asymptotic formulas for the error in linear interpolation

100%

Beśka M., Dziedziul K.

Banach Center Publications

2005

tom 68

nr 1

19-22

We give the asymptotic formula for the error in linear interpolation with arbitrary knots.

Ograniczanie wyników

2 Banach Center Publications

2 Beśka M.

1 Ciesielski Z.

1 Dziedziul K.

1 2006

1 2005

Wyniki wyszukiwania

Gebelein's inequality and its consequences

Asymptotic formulas for the error in linear interpolation