2019
Том 71
№ 5

All Issues

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

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

Full text (.pdf)


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.

Full text