Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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MathSciNet review: 1567725
Full text of review: PDF   This review is available free of charge.
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.

References [Enhancements On Off] (What's this?)

  • 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
  • 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

Review Information:

Reviewer: Paul L. Butzer
Reviewer: Erich van Wickeren
Journal: Bull. Amer. Math. Soc. 19 (1988), 568-572