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

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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…

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

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