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 2017Show all

4 papers · 1 filter

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…

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

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