On the stability of midpoint smoothing with Legendre polynomials
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- by William F. Trench PDF
- Proc. Amer. Math. Soc. 18 (1967), 191-199 Request permission
References
- Herbert S. Wilf, The stability of smoothing by least squares, Proc. Amer. Math. Soc. 15 (1964), 933–937. MR 167764, DOI 10.1090/S0002-9939-1964-0167764-4
- I. J. Schoenberg, On smoothing operations and their generating functions, Bull. Amer. Math. Soc. 59 (1953), 199–230. MR 56042, DOI 10.1090/S0002-9904-1953-09695-1
- Lee Lorch and Peter Szego, A Bessel function inequality connected with stability of least square smoothing, Proc. Amer. Math. Soc. 17 (1966), 330–332. MR 190605, DOI 10.1090/S0002-9939-1966-0190605-8 Private correspondence.
- T. N. E. Greville, On stability of linear smoothing formulas, SIAM J. Numer. Anal. 3 (1966), no. 1, 157–170. MR 210286, DOI 10.1137/0703011
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 191-199
- MSC: Primary 65.20
- DOI: https://doi.org/10.1090/S0002-9939-1967-0212987-1
- MathSciNet review: 0212987