Abstract
For interpolation processes by algebraic polynomials of degree n from values at uniform nodes of an m-simplex, where m ≥ 2, we obtain the order of growth in n of the Lebesgue constants, which coincides with that in the one-dimensional case for which Turetskii obtained an asymptotics earlier.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Ph. Ciarlet, The Finite-Element Method for Elliptic Problems, North-Holland, Amsterdam, 1977.
A. G. Kurosh, A Course of Higher Algebra [in Russian], Nauka, Moscow, 1971.
R. A. Nicolaidis, “On the class of finite elements generated by Lagrange interpolation,” SIAM J. Numer. Anal., 9 (1972), no. 3, 435–445.
A. Kh. Turetskii, Interpolation Theory in Problems [in Russian], Vysheishaya Shkola, Minsk, 1968.
Author information
Authors and Affiliations
Additional information
__________
Translated from Matematicheskie Zametki, vol. 77, no. 6, 2005, pp. 814–831.
Original Russian Text Copyright ©2005 by N. V. Baidakova.
Rights and permissions
About this article
Cite this article
Baidakova, N.V. On the Order of the Lebesgue Constants for Interpolation by Algebraic Polynomials from Values at Uniform Nodes of a Simplex. Math Notes 77, 751–766 (2005). https://doi.org/10.1007/s11006-005-0076-1
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11006-005-0076-1