Work

On Convergence in Norm of Functions in L^p Spaces by Convolution Using Dilation Kernel

Year: 2025

Type: article

Abstract: 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=∞.

Source: Jurnal Matematika Statistika dan Komputasi

DOI: 10.20956/j.v22i1.44148

Author: Elin Herlinawati

Institution: Indonesia Open University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414361607

FWCI:

Cites:

Cited by:

Related to: