On a symmetrized definite integration
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摘要
By means of a certain projection on the median in R2 we report on a new extension of the Riemann integral, that could bring it closer to the Lebesgue integral of real analysis. Evaluation of this integral is shown to be related to the solution of a nonlinear Cauchy problem and or a nonlinear functional differential equation.
论文关键词：Extension of the Riemann integral,Lebesgue integral,Symmetrized integral,Nonlinear Cauchy problems,Nonlinear functional differential equations
论文评审过程：Available online 17 October 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.131
