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Characteristics of Besov-Nikol’skiĭ class of functions. (English) Zbl 1114.42002
This is a respectable paper presenting several interesting theorems. First the author gives a constructive characteristic of the Besov-Nikol’skiĭ class. Next he discusses criteria for a function to belong to a Besov-Nikol’skiĭ class through some conditions on its Fourier coefficients. Finally Nikol’skiĭ, Besov and Besov-Nikol’skiĭ classes and their embedding theorems are examined.

42A10 Trigonometric approximation
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
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