### Optimal recovery of convolution of n-functions from various classes by linear information

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Babenko V.F. "Optimal calculations of convolutions of functions from various classes", *Proc. of International Conference on Constructive Function Theory* (Varna, May 1989), Sofia, 1989; pp. 5-6. (in Russian)

Babenko V.F., Rudenko A.A. "On the optimal renewal of convolutions and scalar products of functions from various classes", *Ukrainian Math. J.*, 1991; 43(10): pp. 1305-1310. (in Russian)

Korneichuk N.P. *Splines in approximation theory*, Nauka, Moscow, 1984; 544 p. (in Russian)

Babenko V.F., Gun'ko M.S. "On the optimal recovery of convolution of n-functions by linear information", *Ukrainian Math. J.*, 2016; 68(5): pp. 579-585. (in Russian)

Mairhuber J.C., Schoenberg I.J., Williamson R.E. "On variation diminishing transformations on the circle", *Rend. Circ. mat. Polermo.*, 1959; 8(2): pp. 241-270.

Karlin S. *Total Positivity*, Stanford Univ. press, Stanford, California, 1968; Vol. 1: 540 p.

Babenko V.F. "Approximation of classes of convolutions", *Siberian Math. J.*, 1987; 28(5): pp. 6-21. (in Russian)

Pinkus A. "On n-width of periodic functions", *J. Anal. Math*, 1979; 35: pp. 209-235.

DOI: https://dx.doi.org/10.15421/241605

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