Abstract
We prove new results about the inclusion of distributions of trigonometric polynomials in Gaussian random variables to Nikolskii–Besov classes. In addition, we estimate the total variance distances between distributions of trigonometric polynomials via the <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>L</mi><mi>q</mi></msup></math>-distances between the polynomials themselves.