Mean Convergence of Lagrange Interpolation. III
- 1 April 1984
- journal article
- research article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 282 (2) , 669-698
- https://doi.org/10.2307/1999259
Abstract
Necessary and sufficient conditions are found for weighted mean convergence of Lagrange and quasi-Lagrange interpolation based at the zeros of generalized Jacobi polynomials.Keywords
This publication has 10 references indexed in Scilit:
- Mean convergence of Hermite-Fejér interpolationJournal of Mathematical Analysis and Applications, 1985
- Some Erdös-Feldheim type theorems on mean convergence of Lagrange interpolationJournal of Mathematical Analysis and Applications, 1983
- A note on the mean convergence of Lagrange interpolationJournal of Approximation Theory, 1982
- Orthogonal polynomialsMemoirs of the American Mathematical Society, 1979
- Mean convergence of Lagrange interpolation, IJournal of Approximation Theory, 1976
- Summability of Jacobi SeriesTransactions of the American Mathematical Society, 1973
- Mean convergence of orthogonal series and Lagrange interpolationActa Mathematica Hungarica, 1972
- Singular Integrals and Differentiability Properties of Functions (PMS-30)Published by Walter de Gruyter GmbH ,1971
- Functional Analysis and Semi-groups. (Revised Edition) By Einai Hille and Ralph S. Phillips. Pp. xii, 808. $13.80, 1957. Americaj Mathematical Society Colloquium Publications, Vol 31. (American Mathematical Society)The Mathematical Gazette, 1959
- On Interpolation. III. Interpolatory Theory of PolynomialsAnnals of Mathematics, 1940