S. Spektor

most citedOn Khintchine type inequalities for

k

-wise independent Rademacher random variables

2 citations · 4 across the 9 of their papers we have counts for

collaborators

10 papers

math.CA2017★ 1 cited

An estimate of the root mean square error incurred when approximating an $f \in L^{2} (R)$ by a partial sum of its Hermite series

Mei Ling Huang, Ron Kerman, Susanna Spektor

Let $f$ be a band-limited function in $L^{2} (R)$ . Fix $T > 0$ and suppose $f^{'}$ exists and is integrable on $[- T, T]$ . This paper gives a concrete estimate of the er…

math.FA2017

Explicit Bernstein type inequalities for wavelet coefficients in $L_{p} (R^{n})$

Susanna Spektor, Xiaosheng Zhuang

In this paper, we investigate the wavelet coefficients for function spaces $A_{k}^{p} = {f : ∥ (iω)^{k} f^(ω) ∥_{p} \leq 1}, k \in N, p \in (1, \infty)$ using an important quantit…

math.PR2017★ 2 cited

On Khintchine type inequalities for $k$ -wise independent Rademacher random variables

Brendan Pass, Susanna Spektor

We consider Khintchine type inequalities on the $p$ -th moments of vectors of $N$ $k$ -wise independent Rademacher random variables. We show that an analogue of Khintchine's inequali…

math.FA2017

Bernstein type inequality in the shift-invariant spaces

V. Babenko, A. Ligun, S. Spektor

We are proving a Bernstein type inequality in the shift-invariant spaces of $L_{2} (R)$ .

math.FA2017★ 1 cited

Inequalities similar to those of Bernstein for non-periodic splines in $L_{2}$ space

Vladislav Babenko, Susanna Spektor

We prove Inequalities similar to those of Bernstein for non-periodic splines in $L_{2}$ space.

math.FA2017

The Asymptotic Behaviour of the $m$ -th Order Cardinal $B$ -Spline wavelet

Ronald Kerman, Mi-Ae Kim, Susanna Spektor

It is well-known that the $m$ -th order cardinal $B$ -spline wavelet, $ψ_{m},$ decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to…

An estimate of the root mean square error incurred when approximating an f∈L2(R) by a partial sum of its Hermite series

Explicit Bernstein type inequalities for wavelet coefficients in Lp​(Rn)

On Khintchine type inequalities for k-wise independent Rademacher random variables

Bernstein type inequality in the shift-invariant spaces

Inequalities similar to those of Bernstein for non-periodic splines in L2​ space

The Asymptotic Behaviour of the m-th Order Cardinal B-Spline wavelet

An estimate of the root mean square error incurred when approximating an $f \in L^{2} (R)$ by a partial sum of its Hermite series

Explicit Bernstein type inequalities for wavelet coefficients in $L_{p} (R^{n})$

On Khintchine type inequalities for $k$ -wise independent Rademacher random variables

Inequalities similar to those of Bernstein for non-periodic splines in $L_{2}$ space

The Asymptotic Behaviour of the $m$ -th Order Cardinal $B$ -Spline wavelet