### The best one-sided approximations of the class of differentiable functions by algebraic polynomials in $$$L_1$$$ space

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Korneichuk N.P., Ligun A.A., Doronin V.G. *Approximation with constraints*, Kyiv, 1982; 250 p. (in Ukrainian)

Motornyi V.P., Motornaya O.V. "Comparison theorems for certain non-symmetric classes of functions", *Dnipr. Univ. Math. Bull.*, 2006; 11: pp. 46-53. (in Russian)

Motornyi V.P., Motornaya O.V. "The best mean approximation of classes of differentiable functions by algebraic polynomials", *Works of V.A. Steklov mathem. institute. Function theory and differential equations*, Moscow, 1995; pp. 171-188. (in Russian)

Natanson I.P. *Constructive function theory*, FM, Moscow, 1949; 688 p. (in Russian)

Szegö G. *Orthogonal polynomials*, Moscow, 1962; 500 p. (in Russian)

Motornyi V.P., Pas’ko A.N. "On the best one-sided approximation of some classes of differentiable functions in $$$L_1$$$", *East J. Approx.*, 2004; 10(1-2): pp. 159-169.

DOI: https://dx.doi.org/10.15421/241216

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