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Differentiability of Peano derivatives
2007
Proceedings of the American Mathematical Society
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Peano differentiability is a notion of higher-order Fréchet differentiability. H. W. Oliver gave sufficient conditions for the m th Peano derivative to be a Fréchet derivative in the case of functions of a real variable. Here we generalize this theorem to functions of several variables.
doi:10.1090/s0002-9939-07-09320-3
fatcat:nugfbocsjnanxovkhbntqqkkjy