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doi:10.1016/0021-9045(86)90034-1    
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Copyright © 1986 Published by Elsevier Inc.

On an open problem of P. Turán concerning Birkhoff interpolation based on the roots of unity

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J. Szabados and A. K. Varma

Mathematical Institute, Hungarian Academy of Sciences, Reàltanoda u. 13-15, Budapest H-1053, Hungary

Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A.


Received 26 February 1985. 
Communicated by Paul Erdös 
Available online 20 July 2004.

Abstract

In 1974 P. Turán (J. Approx. Theory 29 (1980), 23–85) raised many interesting open problems in approximation theory, some of which are on Birkhoff interpolation. The object of this paper is to answer Problem XLVI in the affirmative. In fact in our two main theorems we treat a case that is more general than the case of the problem.

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