Open AccessImprovement of smoothness of functions by bilinear operators, continuous by measure
Author(s) -
A.M. Pas'ko
Publication year - 2017
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241709
Subject(s) - smoothness , lipschitz continuity , bilinear interpolation , mathematics , translation (biology) , invariant (physics) , measure (data warehouse) , pure mathematics , hölder condition , discrete mathematics , mathematical analysis , computer science , statistics , data mining , mathematical physics , biology , biochemistry , messenger rna , gene
The sequences of the translation invariant by the both arguments, continuous bilinear operators $T_n\colon L_1 \times L_1 \rightarrow L_0$ has been considered. The improvement of the smoothness of the functions belonging to the Lipschitz-Holder classes has been established.