2019
Том 71
№ 6

# The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

Abstract

For classes of periodic functions defined by constraints imposed on the $L_1$-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best $L_1$-approximations by generalized splines from the classes considered.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 11, pp 1649–1658.

Citation Example: Babenko V. F., Leis Azar The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes // Ukr. Mat. Zh. - 1998. - 50, № 11. - pp. 1443-1451.

Full text