Abstract
The even-dimensional Kolmogorov widthsd 2n , Gel'fand widthsd 2n, and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of Blaschke products.
Similar content being viewed by others
References
A. Pinkus,n-Widths in Approximation Theory, Springer, Berlin (1985).
S. D. Fisher and C. A. Micchelli, “The n-widths of sets of analytic functions,”Duke Math. J.,47, 789–801 (1980).
S. D. Fisher,Function Theory on Planar Domains: A Second Course in Complex Analysis, Wiley-Interscience, New York (1983).
S. D. Fisher, “Optimal sampling of holomorphic functions,” in:Methods of Functional Analysis in Approximation Theory, Birkhäuser, Basel (1986), p. 76.
K. Yu. Osipenko, “Optimal interpolation of analytic functions,”Mat. Zametki,12, 465–476 (1972).
K. Wilderotter,Optimale Algorithmen zur Approximation Analytischer Funktionen, Dissertation, Bonn (1990).
Author information
Authors and Affiliations
Additional information
Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1170–1175, September, 1995.
Rights and permissions
About this article
Cite this article
Wilderotter, K. Onn-widths of bounded periodic holomorphic functions. Ukr Math J 47, 1334–1340 (1995). https://doi.org/10.1007/BF01057508
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01057508