Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614152 | Journal of Mathematical Analysis and Applications | 2016 | 21 Pages |
Abstract
The article starts with generalizations of some classical results and new truncation error upper bounds in the sampling theorem for bandlimited stochastic processes. Then, it investigates Lp([0,T])Lp([0,T]) and uniform approximations of φ-sub-Gaussian random processes by finite time sampling sums. Explicit truncation error upper bounds are established. Some specifications of the general results for which the assumptions can be easily verified are given. Direct analytical methods are employed to obtain the results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yuriy Kozachenko, Andriy Olenko,