Truncated V-fractional Taylor's Formula with Applications

Autores

  • José Vanterler da Costa Sousa Imecc-Unicamp
  • Edmundo Capelas de Oliveira Imecc-Unicamp

DOI:

https://doi.org/10.5540/tema.2018.019.03.525

Palavras-chave:

Truncated V-fractional derivative, multivariable truncated V-fractional derivative, truncated V-fractional partial derivative, truncated V-fractional Jacobian matrix, truncated V-fractional Green

Resumo

In this paper, we present and prove a new truncated V-fractional Taylor's formula using the truncated V-fractional variation of constants formula. In this sense, we present the truncated V-fractional Taylor's remainder by means of V-fractional integral, essential for analyzing and comparing the error, when approaching functions by polynomials. From these new results, some applications were made involving some inequalities, specifically, we generalize the Cauchy-Schwartz inequality.

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J. Vanterler da C. Sousa and E. Capelas de Oliveira, ``A truncated V-fractional derivative in R^n,'' submitted, (2017).

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Publicado

2018-12-17

Como Citar

Sousa, J. V. da C., & Oliveira, E. C. de. (2018). Truncated V-fractional Taylor’s Formula with Applications. Trends in Computational and Applied Mathematics, 19(3), 525. https://doi.org/10.5540/tema.2018.019.03.525

Edição

v. 19 n. 3 (2018)

Seção

Artigo Original

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