Open AccessThe best approximation of certain unbounded operators on classes of multivariable functions
Author(s) -
В. Ф. Бабенко,
D. A. Levchenko
Publication year - 2012
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241205
Subject(s) - multivariable calculus , mathematics , class (philosophy) , bounded function , partial derivative , value (mathematics) , order (exchange) , pure mathematics , mathematical analysis , computer science , statistics , control engineering , engineering , finance , artificial intelligence , economics
We obtain the value of the best approximation of the linear combination, with non-negative coefficients, of the second partial derivatives and mixed derivatives of the second order on the class of multivariable functions with bounded third partial derivatives.