三維Ostrowski型不等式的研究

On three-dimensional Ostrowski’s type inequalities

蔡宗儒(Tsung-Ju Tsai)

指導教授 ： 楊國勝

淡江大學/理學院/數學學系碩士班/碩士(2008年)

https://doi.org/10.6846/TKU.2008.00085

摘要

這篇論文當中，我們將建立Ostrowski型的不等式，主要是針對三個變數的函數。

關鍵字

Ostrowski型不等式

並列摘要

In the present paper we will establish an inequality of Ostrowski’s type for mapping of three variables.

並列關鍵字

Ostrowski’s Inequality

參考文獻

[1] N.S. BARNETT and S.S. DRAGOMIR, An Ostrowski type inequality for double integrals and applications for cubature formulae, RGMIA Research Report Collection,Vol.1, No.1, 1998.

[2] S.S. DRAGOMIR and S. WANG, A new inequality of Ostrowski's type in L₁ norm and applications to some special means and to some numerical quadrature rules,Tamkang J. of Math, 28(1997), 239-244.

[3] S.S. DRAGOMIR and S. WANG, An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. Applic., 33(1997), 15-20.

[4] S.S. DRAGOMIR and S. WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Lett., 11(1998), 105-109.

[5] S.S. DRAGOMIR and S. WANG, A new inequality of Ostrowski's type in L_{p} norm and applications to some special means and to some numerical quadrature rules, submitted for publications.