Geodesic
Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation
Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 183-194

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Asymptotics are found of the exact upper bound of the maximum of the derivatives on an interval for a class of algebraic polynomials of a specified degree which possess a majorization on a given set of points in the basic segment. Application to approximate differentiation is given. 
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     author = {N. S. Baiguzov},
     title = {Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation},
     journal = {Matemati\v{c}eskie zametki},
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     year = {1969},
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N. S. Baiguzov. Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 183-194. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a5/