Random sampling and approximation of signals with bounded derivatives

Abstract Approximation of analog signals from noisy samples is a fundamental, but nevertheless difficult problem. This paper addresses the problem of approximating functions in Hγ,Ω $H_{\gamma , \varOmega }$ from randomly chosen samples, where Hγ,Ω={f∣f is continuous on Ω‾,and ∥Df∥L∞(Ω)≤γ∥f∥L∞(Ω)}....

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Bibliographic Details
Main Authors: Jianbin Yang, Xinzhu Tao
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2059-x