2017
Том 69
№ 9

All Issues

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials

Babenko V. F., Babenko V. V., Polishchuk M. V.


Abstract

We generalize some known results on the best, best linear, and best one-sided approximations by trigonometric polynomials from the classes of $2 \pi$ -periodic functions presented in the form of convolutions to the case of classes of set-valued functions.

Citation Example: Babenko V. F., Babenko V. V., Polishchuk M. V. Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials // Ukr. Mat. Zh. - 2016. - 68, № 4. - pp. 449-459.