Abstract
The behavior of the Lebesgue constants corresponding to two classical Lagrange interpolation polynomials is studied in dependence on the number of interpolation nodes uniformly distributed on the period divided into three classes. We obtain new exact and approximate formulas for the constants corresponding to each of these classes: the errors are estimated uniformly in the degree of a polynomial. Two standing problems are solved in interpolation theory that are connected with asymptotic equalities for Lebesgue constants.
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 callDisclaimer: 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.
