關於ČEBYŠEV型式不等式的研究

ON INEQUALITIES OF ČEBYŠEV TYPE

黃榆萍(Yu-ping Huang)

指導教授 ： 楊國勝

淡江大學/理學院/數學學系碩士班/碩士(2007年)

https://doi.org/10.6846/TKU.2007.00834

摘要

在此篇文章裡我們建立新的ČEBYŠEV型式不等式，其所伴隨的函數在Lp空間上可微。

關鍵字

Čebyšev型式不等式 ； Lp空間 ； 絕對連續函數 ； Hőlder不等式

並列摘要

In this note we establish new inequalities of ČEBYŠEV type involving functions whose derivatives belong to Lp space.

並列關鍵字

Čebyšev type inequalities ； Lp spaces ； Absolutely continuous functions ； Hőlder’s inequality

參考文獻

[2] S.S. DRAGOMIR and N.S. BARNETT , An Ostrowski type inequality for mappings whose second derivatives are bounded and applications , RGMIA Res. Rep. Coll., 1(2) (1998) , 69-77.

[3] S.S. DRAGOMIR and S. WANG , A new inequality of Ostrowski's type in Lp norm , Indian J. Math. , 40(3) (1998)299-304.

[6] D.S. MITRINOVIĆ , J.E. PEČARIĆ and A.M. FINK , Inequalities Involving Functions and Their Integrals and Derivatives , Kluwer Academic Publishers , Dordrecht , 1994.

[7] B.G. PACHPATTE , On Trapezoid and Grüss like integral inequalities , Tamkang J. Math. , 34(4) (2003) , 365-369.

[8] B.G. PACHPATTE , On Ostrowski- Grüss-Čebyšev type inequalities for functions whose modulus of derivatives are convex , J. Inequal. Pure and Appl. Math. , 6(4) (2005) , Art. 128. [ONLINE : http://jipam.vu.edu.au/article.php?sid=602].