Improvement of smoothness of functions by bilinear operators, continuous by measure | Zendy

A.M. Pas'ko | Zendy

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Improvement 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.

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