Abstract
Necessary and sufficient conditions for best approximations of functions in the\(L_{(1 - X^2 )^\alpha }^2 \) (−1,1) metric, −1/2≤α<1/2 to zero at a certain rate are established (for α=−1/2 known results are obtained). Inequalities for algebraic polynomials are used in the reasoning.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Mathematical Notes of the Academy of Sciences of the USSR
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
