R. Kerman

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

6 papers

math.CA2017

A sharp form of the Marcinkiewicz Interpolation Theorem for Orlicz spaces

Ron Kerman, Rama Rawat, Rajesh K. Singh

An extension of Marcinkiewicz Interpolation Theorem, allowing intermediate spaces of Orlicz type, is proved. This generalization yields a necessary and sufficient condition so that…

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

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{…

A sharp form of the Marcinkiewicz Interpolation Theorem for Orlicz spaces

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

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

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

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