论文信息 - On weighted Hermite-Hadamard inequalities

On weighted Hermite-Hadamard inequalities

Abstract In this paper, we give a weighted form of the Hermite–Hadamard inequalities. Some applications of them are also derived. The results presented here would provide extensions of those given in earlier works. Finally we pose two interesting problems.

[1] B. G. Pachpatte,et al. On Some Inequalities for Convex Functions , 2003 .

[2] Z. Páles,et al. AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY AND AN APPLICATION FOR GINI AND STOLARSKY MEANS , 2004 .

[3] Hari M. Srivastava,et al. A general family of weighted elementary symmetric means , 2009, Appl. Math. Lett..

[4] A BEST POSSIBLE HADAMARD INEQUALITY , 1998 .

[5] D. S. Mitrinovic,et al. Classical and New Inequalities in Analysis , 1992 .

[6] 楊國勝,et al. A note on Hadamard's inequality , 1997 .

[7] Hari M. Srivastava,et al. Further refinements of the Jensen inequalities based upon samples with repetitions , 2010, Math. Comput. Model..

[8] Comparisons of two integral inequalities with Hermite-Hadamard-Jensen's integral inequality , 2005 .

[9] J. Hadamard,et al. Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann , 1893 .

[10] S. Dragomir. Two Mappings in Connection to Hadamard's Inequalities , 1992 .

[11] J. Jensen. Sur les fonctions convexes et les inégalités entre les valeurs moyennes , 1906 .

[12] J. Pečarić,et al. New refinements of the Jensen inequalities based on samples with repetitions , 1998 .

[13] Feng Qi (祁锋),et al. Generalization and Refinements of Hermite-Hadamard's Inequality , 2005 .