Geodesic
A~polynomial approximation method for the solution of a~boundary value problem and its derivatives for linear ordinary differential equations
Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 391-402

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Effective algorithms are proposed for the construction of polynomials of asymptotically best approximation of the solution of a boundary value problem and its derivatives for linear differential equations with polynomial coefficients. Bibliography: 7 titles. 
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     author = {V. K. Dzyadyk and L. A. Ostrovetskii},
     title = {A~polynomial approximation method for the solution of a~boundary value problem and its derivatives for linear ordinary differential equations},
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V. K. Dzyadyk; L. A. Ostrovetskii. A~polynomial approximation method for the solution of a~boundary value problem and its derivatives for linear ordinary differential equations. Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 391-402. http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a8/