• Title/Summary/Keyword: Kyungpook

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Sagae-Tanabe Weighted Means and Reverse Inequalities

  • Ahn, Eunkyung;Kim, Sejung;Lee, Hosoo;Lim, Yongdo
    • Kyungpook Mathematical Journal
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    • v.47 no.4
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    • pp.595-600
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    • 2007
  • In this paper we consider weighted arithmetic and geometric means of several positive definite operators proposed by Sagae and Tanabe and we establish a reverse inequality of the arithmetic and geometric means via Specht ratio and the Thompson metric on the convex cone of positive definite operators.

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Cobalt Catalyzed Carbonylation of Benzal Chloride Derivatives to Alkyl Phenylacetates(II)

  • Shim, Sang-Chul;Doh, Chil-Hoon;Lee, Dong-Yub;Yoon, Young-Zoo;Lee, Seong-Yub;Chae, Shin-Ae;Oh, Hun-Seung
    • Bulletin of the Korean Chemical Society
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    • v.13 no.1
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    • pp.20-22
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    • 1992
  • Treatment of benzal chloride, alcohol, $K_2CO_3$, and a catalytic amount of $Co_2(CO)_8$ at $80^{\circ}C$ for 24 hours under 30 atm of CO gave the corresponding alkyl phenylacetate in good yield.