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# 1. Introduction. Let w be a weight function on the interval (−1, 1).

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### [12] R. P i e s s e n s, E. d e D o n c k e r - K a p e n g a, C. W. ¨ U b e r h u b e r and D. K. K a - h a n e r, QUADPACK. A Subroutine Package for Automatic Integration, Springer, Berlin, 1983.

STANIS LAW LEWANOWICZ

INSTITUTE OF COMPUTER SCIENCE UNIVERSITY OF WROC LAW

UL. PRZESMYCKIEGO 20 51-151 WROC LAW, POLAND E-mail: SLE@II.UNI.WROC.PL

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By Lemma 2.4 in [Bur], we also know that for odd composite n, w(n) ≤ G(n) so if the hypothesis in (1.3) holds, we obtain an upper bound for w(n) as well as G(n) and this will be a