Deferred Bernstein polynomials
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- by G. G. Lorentz
- Proc. Amer. Math. Soc. 2 (1951), 72-76
- DOI: https://doi.org/10.1090/S0002-9939-1951-0041900-3
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References
- S. Bernstein, Complétement à l’article de E. Voronowskaja, C. R. (Doklady) Acad. Sci. URSS (1932) pp. 86-92.
I. Chlodovsky, Sur la représentation des fonctions discontinues par les polynomes de M. S. Bernstein, Fund. Math. vol. 13 (1929) pp. 62-72.
- Fritz Herzog and J. D. Hill, The Bernstein polynomials for discontinuous functions, Amer. J. Math. 68 (1946), 109–124. MR 15570, DOI 10.2307/2371744
- B. Jessen, On the approximation of Lebesgue integrals by Riemann sums, Ann. of Math. (2) 35 (1934), no. 2, 248–251. MR 1503159, DOI 10.2307/1968429 J. F. Koksma, Diophantische Approximationen, Berlin, 1936.
- J. Marcinkiewicz and R. Salem, Sur les sommes riemanniennes, Compositio Math. 7 (1940), 376–389 (French). MR 1272 J. Marcinkiewicz and A. Zygmund, Mean values of trigonometric polynomials, Fund. Math. vol. 28 (1937) pp. 131-166.
- R. Salem, Sur les sommes Riemanniennes des fonctions sommables, Mat. Tidsskr. B 1948 (1948), 60–62 (French). MR 27827 S. Wigert, Réflexions sur le polynome d’approximations, Arkiv för Matematik Astronomi och Fysik vol. 20A, no. 5, 1927-1928, 15 pp.
Bibliographic Information
- © Copyright 1951 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 2 (1951), 72-76
- MSC: Primary 27.0X
- DOI: https://doi.org/10.1090/S0002-9939-1951-0041900-3
- MathSciNet review: 0041900