Truncated V-fractional Taylor's Formula with Applications
DOI:
https://doi.org/10.5540/tema.2018.019.03.525Keywords:
Truncated V-fractional derivative, multivariable truncated V-fractional derivative, truncated V-fractional partial derivative, truncated V-fractional Jacobian matrix, truncated V-fractional GreenAbstract
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.References
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