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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.

MSC:
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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