Approximation of Some Classes of Set-Valued Periodic Functions by Generalized Trigonometric Polynomials

Babenko V F; Babenko V V; Polishchuk M V

doi:10.1007/s11253-016-1237-y

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Approximation of Some Classes of Set-Valued Periodic Functions by Generalized Trigonometric Polynomials

作者：Babenko V F; Babenko V V; Polishchuk M V

来源：Ukrainian Mathematical Journal, 2016, 68(4): 502-514.

DOI：10.1007/s11253-016-1237-y

摘要

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 represented in the form of convolutions to the case of classes of set-valued functions.