On Fourier Series in the Context of Jacobi Matrices

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Matos, JMA (Autor) Outra; Vasconcelos, PB (Autor) FEP; Matos, JAO (Autor) FEP

Revista

Título: Axioms

Vol. 13 Nº 9

Página Final: 581

Indexação

ISI Web of Knowledge - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16