Book Review
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MathSciNet review:
1567725
Full text of review:
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Book Information:
Authors:
Z. Ditzian and
V. Totik
Title:
Moduli of smoothness
Additional book information:
Springer Series in Computational Mathematics, Springer-Verlag, New York, Berlin and Heidelberg, 1987, ix+225 pp., $54.90. ISBN 0-387-96536-x.
K. G. Ivanov, Converse theorems for approximation by Bernstein polynomials in $L_p[0,1]\;(1<p<\infty )$, Constr. Approx. 2 (1986), no. 4, 377–392. MR 892163, DOI 10.1007/BF01893439
2. R. L. Stens, Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen, Habilitationsschrift, RWTH Aachen, 1981.
Xin Long Zhou, Global approximation theorems for modified Szász-Mirakyan and modified Baskakov operators in $L_{p}$ space, J. Hangzhou Univ. Natur. Sci. Ed. 10 (1983), no. 2, 159–167 (Chinese, with English summary). MR 748573
Xin Long Zhou, On the order of approximation by Bernstein-Kantorovich polynomials in the spaces $L_p[0,1]$, Adv. in Math. (Beijing) 14 (1985), no. 2, 147–157 (Chinese). MR 842550
- 1.
- K. G. Ivanov, Converse theorems for approximation by Bernstein polynomials in L [0, 1] (1 < p < ∞ ), Constr. Approx. 2 (1986), 377-392. MR 0892163
- 2.
- R. L. Stens, Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen, Habilitationsschrift, RWTH Aachen, 1981.
- 3.
- Zhou Xin-long, Global approximation theorems for modified Szász-Mirakjan and modified Baskakov operators in L, (Chinese). J. Hangzhou Univ. 10 (1983), 159-167. MR 748573
- 4 Zhou Xin-long, (Chinese). Adv. in Math. (Beijing) 14 (1985), 147-157. MR 842550
4 Zhou Xin-long, (Chinese). Adv. in Math. (Beijing) 14 (1985), 147-157.
Review Information:
Reviewer:
Paul L. Butzer
Reviewer:
Erich van Wickeren
Journal:
Bull. Amer. Math. Soc.
19 (1988), 568-572
DOI:
https://doi.org/10.1090/S0273-0979-1988-15745-X