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  1. Content type: Research Article

    We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.

    Authors: Sin-Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima and Hiroyuki Takagi

    Citation: Journal of Inequalities and Applications 2005 2005:964140

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  2. Content type: Research Article

    The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equa...

    Authors: M Benchohra, J Henderson, SK Ntouyas and A Ouahab

    Citation: Journal of Inequalities and Applications 2005 2005:357614

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  3. Content type: Research Article

    The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...

    Authors: Hiroyuki Takagi, Takeshi Miura, Tadashi Kanzo and Sin-Ei Takahasi

    Citation: Journal of Inequalities and Applications 2005 2005:150678

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