Geodesic
Approximation by Bernstein polynomials at the discontinuity points of derivatives
Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 265-270

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We obtain asymptotic formulas for the deviation of Bernstein polynomials from functions at the first-kind discontinuity points of the highest derivatives of odd order. 
@article{TRSPY_2010_269_a21,
     author = {V. O. Tonkov},
     title = {Approximation by {Bernstein} polynomials at the discontinuity points of derivatives},
     journal = {Informatics and Automation},
     pages = {265--270},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a21/}
}
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V. O. Tonkov. Approximation by Bernstein polynomials at the discontinuity points of derivatives. Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 265-270. http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a21/