An Estimate of the Root Mean Square Error Incurred When Approximating an f ∈ L2(ℝ) by a Partial Sum of Its Hermite Series
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 error incurred when approximating f in the root mean square by a partial sum of its Hermite series. Spe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-04-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2227-7390/6/4/64 |