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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. The goal of this paper is to obtain sufficient and (different) necessary conditions for a series http://static-content.springer.com/image/art%3A10.1155%2F2007%2F10892/MediaObjects/13660_2006_Article_1670_IEq1_HTML.gif , which is absolutely summable of order

    Authors: Ekrem Savaş
    Citation: Journal of Inequalities and Applications 2007 2007:010892

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