2017
Том 69
№ 9

All Issues

Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities

Babenko V. F., Parfinovych N. V.

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Abstract

We determine the exact values of the best (α, β)-approximations and the best one-sided approximations of classes of differentiable periodic functions by splines of defect 2. We obtain new sharp Jackson-type inequalities for the best approximations and the best one-sided approximations by splines of defect 2.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1695-1709.

Citation Example: Babenko V. F., Parfinovych N. V. Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1443-1454.

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