Derivatives of polynomials of best approximation
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- Bull. Amer. Math. Soc. 83 (1977), 1311-1312
References
- M. Ĭ. Kadec′, On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials, Uspehi Mat. Nauk 15 (1960), no. 1 (91), 199–202 (Russian). MR 0113079
- G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. MR 0213785
- Eli Passow and John A. Roulier, Negative theorems on generalized convex approximation, Pacific J. Math. 65 (1976), no. 2, 437–447. MR 422966, DOI 10.2140/pjm.1976.65.437
- John A. Roulier, Best approximation to functions with restricted derivatives, J. Approximation Theory 17 (1976), no. 4, 344–347. MR 415161, DOI 10.1016/0021-9045(76)90078-2
- John A. Roulier, Negative theorems on monotone approximation, Proc. Amer. Math. Soc. 55 (1976), no. 1, 37–43. MR 393969, DOI 10.1090/S0002-9939-1976-0393969-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 83 (1977), 1311-1312
- MSC (1970): Primary 41A10, 41A25
- DOI: https://doi.org/10.1090/S0002-9904-1977-14429-7
- MathSciNet review: 0447904