On the extensions of Bernstein polynomials to the infinite interval
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- by P. L. Butzer
- Proc. Amer. Math. Soc. 5 (1954), 547-553
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063483-7
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References
- Harald Bohman, On approximation of continuous and of analytic functions, Ark. Mat. 2 (1952), 43â56. MR 49966, DOI 10.1007/BF02591381
- P. L. Butzer, Dominated convergence of Kantorovitch polynomials in the space $L^p$, Trans. Roy. Soc. Canada Sect. III 46 (1952), 23â27. MR 52574
- I. Chlodovsky, Sur le dĂ©veloppement des fonctions dĂ©finies dans un intervalle infini en sĂ©ries de polynomes de M. S. Bernstein, Compositio Math. 4 (1937), 380â393 (French). MR 1556982
- J. Favard, Sur les multiplicateurs dâinterpolation, J. Math. Pures Appl. (9) 23 (1944), 219â247 (French). MR 15547
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- G. G. Lorentz, Bernstein polynomials, Mathematical Expositions, No. 8, University of Toronto Press, Toronto, 1953. MR 0057370
- G. G. Lorentz, On the theory of spaces $\Lambda$, Pacific J. Math. 1 (1951), 411â429. MR 44740
- Otto Szasz, Generalization of S. Bernsteinâs polynomials to the infinite interval, J. Research Nat. Bur. Standards 45 (1950), 239â245. MR 0045863 A. Zygmund, Trignometrical series, Warsaw, 1935.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 547-553
- MSC: Primary 41.1X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063483-7
- MathSciNet review: 0063483