Open AccessThe best one-sided approximations of the class of differentiable functions by algebraic polynomials in $L_1$ space
Author(s) -
В. П. Моторный,
V.V. Sedunova
Publication year - 2012
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241216
Subject(s) - mathematics , class (philosophy) , differentiable function , algebraic number , space (punctuation) , degree (music) , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , computer science , physics , operating system , acoustics , artificial intelligence
The asymptotic meaning of the best one-sided approximation of functions from the class $W^1_{\infty}$ by algebraic polynomials of degree not greater than $n$ in $L_1$ space is calculated here.