Open AccessThe best one-side approximation of classes of integrals of fractional order with regard to position of point on interval
Author(s) -
A.M. Pas'ko
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241015
Subject(s) - mathematics , interval (graph theory) , order (exchange) , point (geometry) , algebraic number , position (finance) , combinatorics , mathematical analysis , geometry , finance , economics
We obtain the asymptotic estimations for the best one-sided point-wise approximation to the classes $W_{\infty}^r$, $r > 1$ (in case of fractional $r$) by algebraic polynomials.