论文信息 - Mean convergence of Hermite-Fejér interpolation

Mean convergence of Hermite-Fejér interpolation

Abstract Weighted L p convergence of Hermite-Fejer interpolation based on the zeros of generalized Jacobi polynomials is investigated. The main result of the paper gives necessary and sufficient conditions for such convergence for all continuous functions.

Péter Vértesi | Paul Nevai | P. Nevai | P. Vértesi

[1] Richard Askey,et al. Mean convergence of orthogonal series and Lagrange interpolation , 1972 .

[2] V M Badkov,et al. CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL , 1974 .

[3] Note on mean convergence of Lagrange parabolas , 1980 .

[4] G. Freud. Über die Konvergenz des Hermite-Fejérschen Interpolationsverfahrens , 1954 .

[5] G. P. Névai,et al. Mean convergence of Lagrange interpolation, II☆ , 1976 .

[6] P. Vértesi,et al. Some Erdös-Feldheim type theorems on mean convergence of Lagrange interpolation , 1983 .

[7] G. Freud. On Hermite-Fejér interpolation sequences , 1972 .

[8] Paul Nevai,et al. Distribution of zeros of orthogonal polynomials , 1979 .