What can be said for the epanechnikov kernel with adaptive, Econometrics

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What can be said for the epanechnikov kernel with adaptive

Show that the Nadaraya-Watson kernel smooth with fixed metric bandwidth λ and a Gaussian kernel is differentiable. What can be said for the Epanechnikov kernel? What can be said for the Epanechnikov kernel with adaptive nearest-neighbor bandwidth λ(x0)?

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