The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am37-4-2, author = {Karol Dziedziul and Piotr Paluszek}, title = {Box-spline histograms for multivariate density estimation}, journal = {Applicationes Mathematicae}, volume = {37}, year = {2010}, pages = {413-427}, zbl = {1219.41014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-4-2} }
Karol Dziedziul; Piotr Paluszek. Box-spline histograms for multivariate density estimation. Applicationes Mathematicae, Tome 37 (2010) pp. 413-427. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-4-2/