S. Spektor

activity

20122021

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

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9 papers · 1 filter

math.FA2021

Orlicz-Lorentz Gauge functional inequalities for some integral operators

Ron Kerman, Susanna Spektor

Let $f \in M_{+} (R_{+})$ , the class of nonnegative, Lebesgure-measurable functions on $R_{+} = (0, \infty)$ . We deal with integral operators of the form \[ (T_Kf)(x)=\int…

math.FA2020

On the bounds of coefficients of Daubechie's orthonormal wavelets

Susanna Spektor

In the present work we provide the bounds for Daubechies orthonormal wavelet coefficients for function spaces $A_{k}^{p} := {f : ∥ (iω)^{k} f^(ω) ∥_{p} < \infty}$ , $k\in\mathb…

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.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…

Orlicz-Lorentz Gauge functional inequalities for some integral operators

On the bounds of coefficients of Daubechie's orthonormal wavelets

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

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

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

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