Estimates of derivatives of random functions. II
type: Item
instance of: scholarly article
title: Estimates of derivatives of random functions. II
zbMATH Open document ID: 0588.60034
DOI: 10.1016/0022-247X(85)90305-1
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: [For part I see the second author, ibid. 102, 244-250 (1984; Zbl 0542.60045)] The results of part I are generalized to the case of functions of several variables. Let \(u=s+n\), where s is the useful signal and n is noise. The problem is to estimate the derivatives of s from the observation of u. This problem is of practical importance (see section 2 in part I). Here the formulas for practical calculations are given and the error estimates are derived.
Mathematics Subject Classification ID: 60G35
zbMATH DE Number: 3944960
zbMATH Keywords: approximate formulas
zbMATH Keywords: derivatives of functions of several variables contaminated by noise
MaRDI profile type: Publication
cites work: Estimates of derivatives of random functions. I
cites work: Q5578458
cites work: Stable solutions of some ill‐posed problems
full work available at URL: 0022-247x(85)90305-1
OpenAlex ID: W4206250721
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description: scientific article; zbMATH DE number 3944960