Lewicki, G. On a theorem of S. N. Bernstein and its application in modular function spaces. (English) Zbl 0693.46031 Function spaces, Proc. Int. Conf., Poznań/Poland 1986, Teubner-Texte Math. 103, 69-74 (1988). [For the entire collection see Zbl 0673.00013.] This note is connected with the well known Bernstein “lethargy” theorem. First, the author presents an interesting version of this theorem over a class of SF-spaces (Definition 2.1 and Theorem 2.4), and next considers its applications in the case of quasianalytic and quasientire functions in modular function spaces (Part 3). Reviewer: A.Waszak MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:SF-spaces; quasianalytic and quasientire functions in modular function spaces Citations:Zbl 0673.00013 PDFBibTeX XML