Open AccessOn inequalities of Kolmogorov type for the functions being analytic in the disk
Author(s) -
С. Б. Вакарчук,
M.B. Vakarchuk
Publication year - 2012
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241211
Subject(s) - unit disk , mathematics , inequality , type (biology) , analytic function , plane (geometry) , unit (ring theory) , mathematical analysis , space (punctuation) , complex plane , pure mathematics , geometry , computer science , ecology , mathematics education , biology , operating system
Sharp inequality of Kolmogorov type is obtained in the Bergman space $B_2$ for functions being analytic in the unit disk. The application of this inequality to problems of the theory of approximation in the complex plane is presented too.