Fractional order Taylor's series and the neo-classical inequality

Details Fractional order Taylor's series and the neo-classical inequality Fractional order Taylor's series and the neo-classical inequality

2010-01-12

arxiv.org/abs/1001.1775v1

Bull. Lond. Math. Soc. 42 (2010) no. 3, 467-477

Mathematics

Classical Analysis and ODEs

11 pages, 1 figure

Scientific paper

10.1112/blms/bdq013

We prove the neo-classical inequality with the optimal constant, which was
conjectured by T. J. Lyons [Rev. Mat. Iberoamericana 14 (1998) 215-310]. For
the proof, we introduce the fractional order Taylor's series with residual
terms. Their application to a particular function provides an identity that
deduces the optimal neo-classical inequality.

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