Degree of Lp Approximation Using Activated Singular Integrals
In this article we present the Lp, p≥1, approximation properties of activated singular integral operators over the real line. We establish their approximation to the unit operator with rates. The kernels here come from neural network activation functions and we employ the related density functions. The derived inequalities use the high order Lp modulus of smoothness.
Authors
- George A. Anastassiou (ORCID: https://orcid.org/0000-0002-3781-9824)
Institutions
- University of Memphis (US)
Publication Details
- Journal
- Symmetry
- Published
- 2024-08-10
- DOI
- https://doi.org/10.3390/sym16081022
- Citations
- 2
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 1.42