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Extensions of Vietoris's Inequalities(Ⅱ) 被引量:1

Extensions of Vietoris's Inequalities (Ⅱ)
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摘要 It was shown by Vietoris[1] in 1958 that for n ≥ 1 and x ∈ (0, π), n∑k=0ckcos(kx)>0,(1)
出处 《数学进展》 CSCD 北大核心 2005年第2期253-255,共3页 Advances in Mathematics(China)
基金 Foundation item: This work was supported by a grant from Australian Research Council. The third named author was also supported by NSFC.
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  • 1Gavin Brown,David C. Wilson.A class of positive trigonometric sums. II[J].Mathematische Annalen.1989(1)
  • 2Gavin Brown,Edwin Hewitt.A class of positive trigonometric sums[J].Mathematische Annalen.1984(1)
  • 3R. Askey.Remarks on the preceding paper by Gavin Brown and Edwin Hewitt[J].Mathematische Annalen.1984(1)
  • 4Leopold Fejér.Einige S?tze[J].Monatshefte für Mathematik und Physik.1928(1)
  • 5Young W H.On certain series of Fourier[].Proceedings of the London Mathematical Society.1913
  • 6Askey R,Steinig J.Some positive trigonometric sums[].Transactions of the American Mathematical Society.1974

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