柯西不等式_百度百科 柯西不等式是由大数学家柯西(Cauchy)在研究数学分析中的“流数”问题时得到的。 ... 正是后两位数学家彼此独立地在积分学中推而广之,才将这一不等式应用到近乎 ...
Cauchy-Schwarz Inequality - AoPSWiki - Art of Problem Solving (AoPS) From AoPSWiki The Cauchy-Schwarz Inequality (which is known by other names, including Cauchy's Inequality ...
Cauchy's Inequality -- from Wolfram MathWorld A special case of Hölder's sum inequality with p=q=2, (sum_(k=1)^na_kb_k)^2
Cauchy-Schwarz Inequality: Yet Another Proof Cauchy-Schwarz Inequality: Yet Another Proof Titu Andreescu and Bogdan Enescu give an elegant — and memorable — proof of the Cauchy-Schwarz inequality among the gems in their Mathematical Olympiad Treasures (Birkhauser, 2003). Nominally, the proof is ...
Some Proofs of the Cauchy-Schwarz Inequality | Onionesque Reality Over the past 4-5 months whenever there is some time to spare, I have been working through The Cauchy-Schwarz Master Class by J. Michael Steele. And, although I am still left with the last two chapters, I have been reflecting on the material already cover
Various proofs of the Cauchy-Schwarz inequality Various proofs of the Cauchy-Schwarz inequality Hui-Hua Wu and Shanhe Wu ∗ Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, P. R. China E-mail: wushanhe@yahoo.com.cn ∗Corresponding Author Abstract: In ...
More Cauchy Schwarz Inequality Problems - Wharton Statistics Department - Statistics Department Cauchy Schwarz Inequality More Mathematical Inequalities --- From Competitions and Beyond The Cauchy-Schwarz Master Class has been in print for more than a year now, so, as it it were a law of nature, beautiful problems and proofs start turning up that I
Schwarz's Inequality -- from Wolfram MathWorld with equality iff with a constant. Schwarz's inequality is sometimes also called the Cauchy-Schwarz inequality (Gradshteyn and Ryzhik 2000, p. 1099) or Buniakowsky inequality (Hardy et al. 1952, p. 16). To derive the inequality, let be a complex function
Two interesting proofs of the Cauchy-Schwarz inequality (complex case) | Chaitanya's Random Pages In a previous post I gave two proofs of the Cauchy-Schwarz inequality for a real inner product space. Here I look at the case of a complex inner product space: $latex \displaystyle \left|\langle{x,y\rangle}\right| \leq \left
科西不等式及其證明| 尼斯的靈魂 2009年11月26日 - 至於等號成立可推得:存在一實數 t 使得對任意的 1\leq k\leq n , a_{k}=tb_{k} 。 範例:假設 a^{2}+b^{2}=1 。試求 3a+4b 的極值。 利用科西不等式.