Nikol'skii-Type Inequalities for Trigonometric Polynomials for Lorentz-Zygmund Spaces

Nikol'skii-type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus for the Lorentz-Zygmund spaces, are obtained. The results of previous paper ""Nikol'skii inequalities for Lorentz-Zygmund spaces"" are extended. Applications to approximation spaces in Lorentz-Zygmund spaces and to Besov spaces are given.