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  • 學位論文

一些更細緻的Hadamard不等式

On refinement of Hadamard's inequalities

指導教授 : 楊國勝

摘要


在參考文獻﹝6﹞Dragomir 將Hadamard不等式做了更細緻的推廣。而這篇論文的主要目的就是將其推廣至更一般化。

並列摘要


In﹝6﹞Dragomir made some refinement of Hadamard’s inequalities. The main purpose of this paper is to give some generalizations of Theorem1 and Theorem 2 in introduction.

參考文獻


3. D. S. Mitrinović and I. B. Lačković, Hermite and convexity, Aequationes Math. 28(1985), 225-232.
5. J. Sándor, Some integral inequalities, Elem. Math. 43(1988), 177-180.
6. S. S. Dragomir, Two mappings in connection to Hadamard’s inequalities, J. M. Anal,Appl(1992), 49-56.
1. H. Alzer, A note on Hadamard’s inequalities, C.R. Math. Rep. Acad. Sci. Canada 11 (1989), 255-258.
2. S. S. Dragomir, J. E. Pečarić, and J. Sándor, A note on the Jensen-Hadamard inequality, Anal. Numér. Théor. Approx., in press.

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