Truncated V-fractional Taylor's Formula with Applications
Keyword(s):
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.
2001 ◽
Vol 263
(1)
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pp. 246-263
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2001 ◽
Vol 44
(3)
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pp. 203-225
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2008 ◽
Vol 56
(9)
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pp. 2285-2288
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1998 ◽
Vol 30
(1)
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pp. 133-136
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1995 ◽
Vol 23
(1)
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pp. 117-120
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