Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606896 | Journal of Approximation Theory | 2016 | 14 Pages |
Abstract
In this paper, we generalize the notion of Kantorovich-type sampling operators using the Fejér-type singular integral. By means of these operators we are able to reconstruct signals (functions) which are not necessarily continuous. Moreover, our generalization allows us to take the measurement error into account. The goal of this paper is to estimate the rate of approximation by the above operators via high-order modulus of smoothness.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Olga Orlova, Gert Tamberg,