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

Showing 2012Show all

2 papers · 1 filter

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{…

The Rearrangement-Invariant space Γp,ϕ​

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

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

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