2 citations · 5 across the 7 of their papers we have counts for
9 papers
Orlicz-Lorentz Gauge functional inequalities for some integral operators
Ron Kerman, Susanna Spektor
Let , the class of nonnegative, Lebesgure-measurable functions on . We deal with integral operators of the form \[ (T_Kf)(x)=\int…
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…
An estimate of the root mean square error incurred when approximating an by a partial sum of its Hermite series
Mei Ling Huang, Ron Kerman, Susanna Spektor
Let be a band-limited function in . Fix and suppose exists and is integrable on . This paper gives a concrete estimate of the er…
The Asymptotic Behaviour of the -th Order Cardinal -Spline wavelet
Ronald Kerman, Mi-Ae Kim, Susanna Spektor
It is well-known that the -th order cardinal -spline wavelet, decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to…
Dilation-commuting operators on power-weighted Orlicz classes
Ron Kerman, Rama Rawat, Rajesh K. Singh
Let and be nondecreasing functions from onto itself. For and , define the Orlicz class to b…
A New Algorithm for Approximating the Least Concave Majorant
Martin Franců, Ron Kerman, Gord Sinnamon
The least concave majorant, , of a continuous function on a closed interval, , is defined by \[ \hat F (x) = \inf \left\{ G(x): G \geq F, G \mbox{ concave}\right\},\…