Abstract
In this note we improve a criterion mainly due to S. Shohat for the mean convergence of the Lagrangean interpolation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Balázs and P. Turan, Notes on Interpolation VIII (Mean Convergence on Infinite Intervals), Acta Math. Acad. Sci. Hung. 12 (1961), 469–474.
P. Erdos and P. Turan, On Interpolation I, Ann. Math. 38 (1937), 142–155.
H. Esser, Bemerkungen zu einem Satz von G. Freud über Quadraturkonvergenz, Computing 8 (1971), 216–220.
G. Freud, Orthogonale Polynome, Birkhäuser Verlag, Basel 1969.
S. Shohat, On the Convergence Properties of Lagrange Interpolation based on the Zeros of Orthogonal Tschebyscheff Polynomials, Ann. Math. 38 (1937), 758–769.
S. Shohat, Application of Orthogonal Tschebyscheff Polynomials to Lagrangean Interpolation and to the General Theory of Polynomials, Annali di Mat. Pura Appl. 18 (1939), 201–238.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer Basel AG
About this chapter
Cite this chapter
Esser, H. (1979). Mean Convergence of the Lagrangean Interpolation of Improperly Riemann-Stieltjes Integrable Functions. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6288-2_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1014-1
Online ISBN: 978-3-0348-6288-2
eBook Packages: Springer Book Archive