有關Alzer不等式延伸之探討

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 學位論文 > Item 987654321/32925

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Title:	有關Alzer不等式延伸之探討
Other Titles:	A note on Alzer's inequality
Authors:	許耿銘;Hsu, Keng-ming
Contributors:	淡江大學數學學系碩士班楊國勝;Yang, Gou-sheng
Keywords:	Alzer不等式;Cauchy均值定理;數學歸納法;Alzer's Inequality;Cauchy's Mean-Value Theorem;'Mathematical induction
Date:	2007
Issue Date:	2010-01-11 02:58:50 (UTC+8)
Abstract:	在2000年，F. Qi 和 L. Debnath 推廣了 Alzer 不等式，而在他們的證明中限制r為正實數且{a_1,a_2,...}是一個遞增的正實數數列。在本論文主要結論中，我們將任意正實數r設定為任意負實數且{a_1,a_2,...}是一個遞增的正實數數列更改為遞減的正實數數列，建立了一個類似的結果。 In 2000, F. Qi and L. Debnath further generalize Alzer''s inequality. The main purpose of this note is to change some conditions and establish a result that similar to this inequality.
Appears in Collections:	[應用數學與數據科學學系] 學位論文

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