On Convergence in Norm of Functions in L^p Spaces by Convolution Using Dilation Kernel
In this paper, we investigate the convergence in norm of functions in L^p (R^d) by convolution. We use dilation kernel from L^1 as approximation identity and prove convergence of a function using convolution with dilation kernel in norm ‖∙‖_p for 1≤p<∞ and norm ‖∙‖_∞ for p=∞.
Authors
- Elin Herlinawati (ORCID: https://orcid.org/0000-0002-3413-7596)
Publication Details
- Journal
- Jurnal Matematika Statistika dan Komputasi
- Published
- 2025-09-08
- DOI
- https://doi.org/10.20956/j.v22i1.44148
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00