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建立不等式的Sándor-Szabó方法——献给柯召院士90寿诞 被引量:1

Sándor Szabó's Method Establishing Inequalities Dedicated to Academician Ke Zhao on the occasion of his 90th birthday
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摘要 本文用文献 [4 ]中的不等式作加细为例 ,展示 [2 The aim of this paper is using Sndor Szabó's method to establish some chains of inequalities. Some parts in these chains are rather famous inequalities. The method of establishing inequalities is interesting, and its chief feature is clear and and short. At last, our results are verified by Maple mathematical software.
出处 《成都大学学报(自然科学版)》 2000年第4期20-26,共7页 Journal of Chengdu University(Natural Science Edition)
关键词 不等式 Sadnor-Szabo 数学软件 and phrases inequality, Sndor Szabó's method, Maple mathematical software.
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同被引文献11

  • 1王挽澜.建立不等式的方法[M].哈尔滨:哈尔滨工业大学出版社,2011.
  • 2Bellman R, Beckenbach E F. Inequalities [ M]. Berlin: Springer- veriag, 1980.
  • 3Bullen P S, Mitrinovi, Vasi P M, et al. Means and their ine- qua//t/es [ M] MA, USA: D. Reidel Publishing Company, 1988.
  • 4Wang Chunglie. Functional equation approach to inequalities [ J]J Math Anal Appl, 1979,71 (2) : 423 - 430.
  • 5Sdndor J, Szeb6 V E S. On an inequality for the sum of infimums offunct/ons [ J ]. J Math Anal Appl, 1996,204( 3): 646- 654.
  • 6Pearid J,Varoganec S. A new proof of the arithmetic tnean- the geometric mean inequality[ J] .J Math Anal Appl, 1997,215 (2) :577 - 578.
  • 7Wang Wanlan. Some inequalities involving means and their conv- erses[J] .J Math Anal Appl, 1999,238(2):567 - 579.
  • 8Wang Wanlan, Luo Zhao. Some generalizations for inequalities ofL.K.Hua-C.L.Wangtype[J].数学研究与评论,2002,22(2):575-582.
  • 9Wang Wanlan. The counterpart of Fan' s inequality and its relat- ed resu/ts [ Jl. JIPAM,2008,9(4) : 1 - 8.
  • 10Mitrinovi D S,PeSari6 J E,Fink A M. Classical and new in- equalities in analysis [ M ]. Netherlands: Kluwer Academic Pub- hshers, 1993.

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