On an Approximation by Band-Limited Functions

被引：0
作者：
Yu. A. Kriksin [1 ]
V. F. Tishkin [1 ]
机构：
[1] Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
来源：
Doklady Mathematics | 2024年 / 110卷 / 3期
关键词：
approximation; band-limited function; Tikhonov’s regularization method;
D O I：
10.1134/S1064562424602312
中图分类号：
学科分类号：
摘要：
Abstract: The problem of approximating a continuous real function of one real variable defined on an interval using a band-limited function based on Tikhonov’s regularization method is considered. Numerical estimates of the accuracy of such approximations are calculated for a model trigonometric function. We analyze why a theoretical estimate for the approximation accuracy of a continuous function by band-limited functions is difficult to achieve numerically. The problem of estimating the spectrum of a signal defined on a finite interval is discussed. © Pleiades Publishing, Ltd. 2024.
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页码：500 / 505
页数：5
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