Geodesic
On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 211-220

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Bounds on the deviation of the directional derivatives of the Hermite polynomial in the directions of a triangle sides are obtained; it is proved that these bounds are sharp. As a consequence, bounds on the deviations of the partial derivatives up to the third order inclusive are obtained. 
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     author = {A. V. Meleshkina},
     title = {On the approximation of the derivatives of the {Hermite} interpolation polynomial on a triangle},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. V. Meleshkina. On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 211-220. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a0/