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  1. Content type: Research Article

    We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain a...

    Authors: Zhe Chen, Kequan Zhao and Yuke Chen

    Citation: Journal of Inequalities and Applications 2007 2007:019323

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  2. Content type: Research Article

    The purpose of the present paper is to introduce several new classes of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate v...

    Authors: Oh Sang Kwon and Nak Eun Cho

    Citation: Journal of Inequalities and Applications 2007 2007:051079

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  3. Content type: Research Article

    We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results in...

    Authors: Meijuan Shang, Yongfu Su and Xiaolong Qin

    Citation: Journal of Inequalities and Applications 2007 2007:05398

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  4. Content type: Research Article

    We establish generalizations of Steffensen's integral inequality on time scales via the diamond- http://static-content.springer.com/image/art%3A10.1155%2F2007%2F46524/MediaObjects/13660_2007_Article_1707_IEq1_HTML.gif dynamic integral, which is defined as a...

    Authors: Umut Mutlu Ozkan and Hüseyin Yildirim

    Citation: Journal of Inequalities and Applications 2007 2007:046524

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  5. Content type: Research Article

    A new simple proof of Shafer-Fink-type inequality proposed by Malešević is given.

    Authors: Ling Zhu

    Citation: Journal of Inequalities and Applications 2007 2007:067430

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  6. Content type: Research Article

    This paper discusses some spectral properties of class http://static-content.springer.com/image/art%3A10.1155%2F2007%2F27195/MediaObjects/13660_2006_Article_1688_IEq2_HTML.gif operators for http://static-content.springer.com/image/art%3A10.1155%2F2007%2F27195/MediaObjects/13660_2006_Article_1688_IEq3_HTML.gif

    Authors: Jiangtao Yuan and Zongsheng Gao

    Citation: Journal of Inequalities and Applications 2007 2007:027195

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  7. Content type: Research Article

    We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given. As application, ...

    Authors: Shanhe Wu

    Citation: Journal of Inequalities and Applications 2007 2007:072173

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  8. Content type: Research Article

    We establish some new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new...

    Authors: Wing-Sum Cheung and Chang-Jian Zhao

    Citation: Journal of Inequalities and Applications 2007 2007:038347

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  9. Content type: Research Article

    By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.

    Authors: Gaowen Xi

    Citation: Journal of Inequalities and Applications 2007 2007:079758

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  10. Content type: Research Article

    We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the...

    Authors: Nan-Jing Huang, Heng-You Lan and Kok Lay Teo

    Citation: Journal of Inequalities and Applications 2007 2007:017294

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