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系統識別號 U0002-2107201714560900
DOI 10.6846/TKU.2017.00743
論文名稱(中文) 一些Ostrowski不等式的推廣
論文名稱(英文) Some Generalizations of Ostrowski Inequality
第三語言論文名稱
校院名稱 淡江大學
系所名稱(中文) 數學學系碩士班
系所名稱(英文) Department of Mathematics
外國學位學校名稱
外國學位學院名稱
外國學位研究所名稱
學年度 105
學期 2
出版年 106
研究生(中文) 羅裕豪
研究生(英文) Yu-Hao Lo
學號 603190066
學位類別 碩士
語言別 繁體中文
第二語言別
口試日期 2017-07-19
論文頁數 21頁
口試委員 指導教授 - 陳功宇
委員 - 楊國勝
委員 - 曾貴麟
關鍵字(中) Ostrowski不等式
關鍵字(英) Ostrowski Inequality
第三語言關鍵字
學科別分類
中文摘要
在這篇論文我們建立了一些Ostrowski型態的不等式,推廣並改良前人所做的一些結果。
英文摘要
In this paper, we establish some inequalities which improve some Ostrowski type inequalities.
第三語言摘要
論文目次
第一章:導論………………………………………………………………1
    1.1:已建立的Ostrowski不等式
    1.2:由Dragomir, Tseng, Yang跟Chou所建立的結果
第二章:一些加權的Ostrowski不等式的改良……………………………7

參考文獻…………………………………………………………………20
參考文獻
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	D. S. Mitrinovi'c, J.E. Peµcari'c and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers(Dordrecht), 1994.
	A. Ostrowski, üeber die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227
	H. L. Royden, Real Analysis Third Edition, Macmillan Publishing Company,1988
	Kuei-Lin Tseng, Shiow-Ru Hwang, S. S Dragomir, Generalizations of weighted Ostrowski type inequality for mappings of bounded variation and their applications, Comput. Math.Appl.,55(8)(2008), 1785-1793
	Kuei-Lin Tseng, Improvements of some inequality of Ostrowski type and their applications, Taiwanese J. Math.,12(9)(2008), 2427-2441
	Kuei-Lin Tseng,Shiow-Ru Hwang,Gou-Sheng Yang,Yi-Ming Chou,Improvements of the Ostrowski integral inequality for mappings of bounded variation I,Appl. Math. Comp. ,217(8)(2010)2348-2355
	Kuei-Lin Tseng,Shiow-Ru Hwang,Gou-Sheng Yang,Yi-Ming Chou,Weighted Ostrowski integral inequality for mappings of bounded variation,Taiwanese J. Math.,15(2)(2011)573-585
	周義銘, 在有界變分函數上有關Ostrowski型之不等式研究。淡江大學數學學系博士班學位論文。2012。1-99
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