Doktorski, Leo R. YaLeo R. YaDoktorski2022-03-062022-03-062020https://publica.fraunhofer.de/handle/publica/26105010.1155/2020/6853723Nikol'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.en004670journal article