R. Kerman

activity

20122021

most citedAn estimate of the root mean square error incurred when approximating an

f \in L^{2} (R)

by a partial sum of its Hermite series

1 citations · 1 across the 4 of their papers we have counts for

collaborators

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5 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.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…

math.FA2017

Dilation-commuting operators on power-weighted Orlicz classes

Ron Kerman, Rama Rawat, Rajesh K. Singh

Let $Φ_{1}$ and $Φ_{2}$ be nondecreasing functions from $R_{+} = (0, \infty)$ onto itself. For $i = 1, 2$ and $γ \in R$ , define the Orlicz class $L_{Φ_{i}} (R_{+})$ to b…

math.FA2012

The Rearrangement-Invariant space $Γ_{p, ϕ}$

Amiran Gogatishvili, Ron Kerman

Fix $b \in (0, \infty)$ and $p \in (1, \infty)$ . Let $ϕ$ be a positive measurable function on $I_{b} := (0, b)$ . Define the Lorentz Gamma norm, $\r_{p,ϕ}$, at the measurable function $f:\R+…

math.FA2012

A New Proof Of The Asymptotic Limit Of The $L p$ Norm Of The Sinc Function

R. Kerman, S. Spektor

We improve on the inequality $\frac{1}{π} \int_{- \infty}^{\infty} (\frac{sin ^{2} t}{t ^{2}})^{p} d t \leq \frac{1}{p}, 0.2 c m p \geq 1,$ showing that $\displaystyle{\frac{…

Orlicz-Lorentz Gauge functional inequalities for some integral operators

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

Dilation-commuting operators on power-weighted Orlicz classes

The Rearrangement-Invariant space Γp,ϕ​

A New Proof Of The Asymptotic Limit Of The Lp Norm Of The Sinc Function

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

The Rearrangement-Invariant space $Γ_{p, ϕ}$

A New Proof Of The Asymptotic Limit Of The $L p$ Norm Of The Sinc Function