臺灣博碩士論文加值系統

我們已經獲得了一些二階導數是有界函數的Ostrowski形式不等式，
這些結果是將S.S.Dragomir,P.Cerone,J.Roumeliotis, N.S.Barnett , and A.Sofo 等人所獲得的一些不等式推廣而得。

We have established some inequality of Ostrowski type for functions whose second derivative are bounded. The results are generalizations of some inequalitiesby S.S.Dragomir ,P.Cerone
, J.Roumeliotis , N.S.Barnett , and A.Sofo .

目 錄
1.簡介………………………………………1
等 式（1.1）………………………………1
等 式（1.3）………………………………1
不等式 A …………………………………2
不等式 B …………………………………2
2.主要結果…………………………………3
定 理 1 ……………………………………3
定 理 2 ……………………………………5
定 理 3 ……………………………………7
定 理 4 ……………………………………9
參考資料 …………………………………10
英 文 版
1. Introduction…………………………11
Identity（1.1）…………………………11
Identity（1.3）…………………………11
Inequality A …………………………12
Inequality B …………………………12
2.Main results …………………………13
Theorem 1 ………………………………13
Theorem 2 ………………………………15
Theorem 3 ………………………………17
Theorem 4. ………………………………19
References ………………………………20

[1] P. Cerone , S.S. Dragomir and J. Roumeliotis ,An inequality of Ostrowski type for Mapping whose second derivatives are bounded and applications , RGMIA Research
Report Collection , Vol.1 , No1 , (1998) , 33-39.
[2] S.S. Dragomir and N.S.Barnett , An Ostrowskitype inequality for mappings whose Second derivatives are bounded and applications , RGMIA Research Report Collection
,Vol. 1, No.2 (1998) , 69-77.
[3] S.S. Dragomir and A. Sofo , An integral inequality for twice differentiable mappings and applications , RGMIA Research Report Collection , Vol.2 , (1999) , 229-240.