2018
Том 70
№ 9

# On the optimal reconstruction of the convolution of $n$ functions according to the linear information

Abstract

We determine the optimal linear information and the optimal method of its application to the recovery of convolution of $n$ functions on some convex and centrally symmetric classes of $2\pi$ -periodic functions.

Citation Example: Babenko V. F., Gun’ko M. S. On the optimal reconstruction of the convolution of $n$ functions according to the linear information // Ukr. Mat. Zh. - 2016. - 68, № 5. - pp. 579-585.