2019
Том 71
№ 11

All Issues

On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$

Babenko V. F., Glushko V. N.

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Abstract

The problem of uniqueness of the best approximations in the space $L_1[a, b]$ is studied We consider the problem of the best approximation and the best $(\alpha, \beta)$-approximation of continuous functions and the problem of the best one-sided approximation of continuously differentiable functions.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 503-513.

Citation Example: Babenko V. F., Glushko V. N. On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 475–483.

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