2018
Том 70
№ 11

# Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$

Abstract

We investigate the best approximations of sine-shaped functions by constants in the spaces $L_p$ for $p < 1$. In particular, we find the best approximation of perfect Euler splines by constants in the spaces Lp for certain $p∈(0,1)$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 6, pp 882–903.

Citation Example: Babenko V. F., Kofanov V. A., Pichugov S. A. Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ // Ukr. Mat. Zh. - 2004. - 56, № 6. - pp. 745–762.

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