On Fourier Series in the Context of Jacobi Matrices

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Matos, JMA (Author) Other; Vasconcelos, PB (Author) FEP; Matos, JAO (Author) FEP

Journal

Title: Axioms

Vol. 13 No. 9

Final page: 581

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-016-ZSC

DOI: 10.3390/axioms13090581

Abstract (EN): We investigate the properties of matrices that emerge from the application of Fourier series to Jacobi matrices. Specifically, we focus on functions defined by the coefficients of a Fourier series expressed in orthogonal polynomials. In the operational formulation of integro-differential problems, these infinite matrices play a fundamental role. We have derived precise calculation formulas for their elements, enabling exact computation of these operational matrices. Numerical results illustrate the effectiveness of our approach.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16