Abstract
The classification of functions is one of the most important elements of the theory of approximation of functions and of the theory of functions as a whole. In most known cases, the decomposition of functions into classes is carried out in the following way: Assume that F and Φ are some sets of functions, A is a fixed operator acting from F into Φ, Φ B is a set of functions ϕ∈Φ satisfying the condition B, and F A,B is the preimage of ΦB under the mapping A:A(FA,B)=ΦB. Then the set FA,B⊂F is called a class of functions f such that A(f) = ϕ ∈ ΦB.
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© 1995 Springer Science+Business Media Dordrecht
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Stepanets, A.I. (1995). Classes of Periodic Functions. In: Classification and Approximation of Periodic Functions. Mathematics and Its Applications, vol 333. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0115-8_2
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DOI: https://doi.org/10.1007/978-94-011-0115-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4055-6
Online ISBN: 978-94-011-0115-8
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