Fractional order Taylor's series and the neo-classical inequality
Fractional order Taylor's series and the neo-classical inequality
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分数阶泰勒级数和新古典不等式
DOI：
10.1112/blms/bdq013
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Keisuke Hara and Masanori Hino
中科院分区：
文献类型：
--
作者：
Fujiie;S.;Lahmar-Benbernou;A.;Martinez;A;Kaoru Ono;Keisuke Hara and Masanori Hino
我们用最优常数证明了新古典不等式，这是 T. J. Lyons 猜想的（‘Differentialequationsdriven by rough Signal’,Rev.Mat.Iberoamericana14 (1998) 215-310）。为了证明，我们引入了带有残差项的分数阶泰勒级数。它们对特定函数的应用提供了一个恒等式，可以推导出最优的新古典不等式。
We prove the neo‐classical inequality with the optimal constant, which was conjectured by T. J. Lyons (‘Differential equations driven by rough signals’,Rev. Mat. Iberoamericana14 (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.