Abstract:
In this paper we define families of classes of functions related to best approximations in harmonic
intervals.
These families of function classes characterize the order of approximation of functions by
trigonometric polynomials with a spectrum from harmonic intervals. The article contains an
investigation of various characterizations of the indicated families of function classes,
introduces imbedding theorems, and shows the connection between the introduced families of
functions classes and the classical Besov spaces. The article is intended for researchers
specializing in the theory of approximation and functional analysis, and
all those whose interests lie in these areas.
