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  • 學位論文

關於Čebyšev-Grüss型不等式的研究

A Note on Čebyšev-Grüss type inequalities

指導教授 : 楊國勝

摘要


在本文中,我們建立了新的Čebyšev-Grüss型不等式靠著使用在Montgomery等式的Pecaric的延伸。

並列摘要


In the present note we establish new Čebyšev-Grüss type inequalities by using Pecaric’s extension of the Montgomery identity.

參考文獻


[3] D.S. MITRINOVIC, J.E. PECARIC AND A.M. FINK, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1991.
[5] B.G. PACHPATTE. New weighted multivariate Gruss type inequalities, J. Inequal. Pure and Appl. Math., 4(5), Art. 108. 1-9, 2003. [ONLINE:http://jipam.vu.edu.au/article.php?sid=349].
[6] B.G. PACHPATTE. On Cebysev-Gruss type inequalities via pecaric's extension of the Montgomery identity, J. Inequal. Pure and Appl. Math 7(1) Art11, 1-4. (2006).
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