SQUARE OF THE ERROR OCTONIONIC THEOREM AND HYPERCOMPLEX FOURIER SERIES

Authors

  • C. A. P. Martinez Universidade Tecnológica Federal do Paraná
  • André L. M. Martinez Universidade Técnológica Federal do Paraná
  • Manoel Ferreira Borges Neto Unesp-São José do Rio Preto
  • Emerson Vitor Castelani Universidade Estadual de Maringá

DOI:

https://doi.org/10.5540/tema.2013.014.03.0483

Abstract

The focus of this paper is to address some classical results for a class of hypercomplex numbers. More specifically we present an extension of the Square of the Error Theorem and a Bessel inequality for octonions.

Author Biographies

C. A. P. Martinez, Universidade Tecnológica Federal do Paraná

Atualmente trabalha no Comat-Cornélio Procópio, na área de Matemática Aplicada

André L. M. Martinez, Universidade Técnológica Federal do Paraná

Atualmente trabalha no Comat-Cornélio Procópio, na área de Matemática Aplicada

Manoel Ferreira Borges Neto, Unesp-São José do Rio Preto

Departamento de Ciência da Computação e Estatística, área: física matemática

Emerson Vitor Castelani, Universidade Estadual de Maringá

Trabalhando atualmente no Departamento de Matemática, na área de Matemática Aplicada.

References

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Published

2013-11-24

How to Cite

Martinez, C. A. P., Martinez, A. L. M., Borges Neto, M. F., & Castelani, E. V. (2013). SQUARE OF THE ERROR OCTONIONIC THEOREM AND HYPERCOMPLEX FOURIER SERIES. Trends in Computational and Applied Mathematics, 14(3), 483–495. https://doi.org/10.5540/tema.2013.014.03.0483

Issue

Vol. 14 No. 3 (2013)

Section

Original Article

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