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

: Doktorski, Leo R. Ya

Fulltext ()

Journal of function spaces 2020 (2020), Art. 6853723, 9 pp.
ISSN: 2314-8896
ISSN: 2314-8888
Journal Article, Electronic Publication
Fraunhofer IOSB ()

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.