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  1. Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel fu...

    Authors: Árpád Baricz and Ling Zhu

    Citation: Journal of Inequalities and Applications 2008 2007:082038

    Content type: Research Article

    Published on:

  2. We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained. Some applications in p...

    Authors: Slavko Simic

    Citation: Journal of Inequalities and Applications 2008 2007:037359

    Content type: Research Article

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  3. For analytic functions http://static-content.springer.com/image/art%3A10.1155%2F2007%2F14630/MediaObjects/13660_2007_Article_1673_IEq1_HTML.gif in the open unit disc http://static-content.springer.com/image/art%3A10.1155%2F2007%2F14630/MediaObjects/13660_2007_Article_1673_IEq2_HTML.gif with

    Authors: M Çag̃lar, Y Polatog̃lu, A Şen, E Yavuz and S Owa

    Citation: Journal of Inequalities and Applications 2008 2007:014630

    Content type: Research Article

    Published on:

  4. Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in th...

    Authors: Yonghong Yao and Yeong-Cheng Liou

    Citation: Journal of Inequalities and Applications 2008 2008:280908

    Content type: Research Article

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  5. Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are d...

    Authors: Jingbo Dou, Pengcheng Niu and Zixia Yuan

    Citation: Journal of Inequalities and Applications 2007 2007:032585

    Content type: Research Article

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  6. The purpose of this paper is to investigate some nonlinear integral inequalities on time scales. Our results unify and extend some continuous inequalities and their corresponding discrete analogues. The theore...

    Authors: Wei Nian Li and Weihong Sheng

    Citation: Journal of Inequalities and Applications 2007 2007:070465

    Content type: Research Article

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  7. We investigate when a natural iterative method converges to the exact solution of a differential-functional von Foerster-type equation which describes a single population depending on its past time and state d...

    Authors: Henryk Leszczyński and Piotr Zwierkowski

    Citation: Journal of Inequalities and Applications 2007 2007:012324

    Content type: Research Article

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  8. We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel differential equation.

    Authors: Byungbae Kim and Soon-Mo Jung

    Citation: Journal of Inequalities and Applications 2007 2007:021640

    Content type: Research Article

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  9. We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. So...

    Authors: XianJun Long, Nan-Jing Huang and Kok Lay Teo

    Citation: Journal of Inequalities and Applications 2007 2008:657329

    Content type: Research Article

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  10. This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.

    Authors: Zhao Changjian and Wing-Sum Cheung

    Citation: Journal of Inequalities and Applications 2007 2008:693248

    Content type: Research Article

    Published on:

  11. We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common el...

    Authors: Yongfu Su, Meijuan Shang and Xiaolong Qin

    Citation: Journal of Inequalities and Applications 2007 2007:064947

    Content type: Research Article

    Published on:

  12. We reinvestigate the convergence properties of the SQP-type method for solving nonlinear semidefinite programming problems studied by Correa and Ramirez (2004). We prove, under the strong second-order sufficie...

    Authors: Yun Wang, Shaowu Zhang and Liwei Zhang

    Citation: Journal of Inequalities and Applications 2007 2008:218345

    Content type: Research Article

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  13. The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most im...

    Authors: Boulbeba Abdelmoumen, Abdelkader Dehici, Aref Jeribi and Maher Mnif

    Citation: Journal of Inequalities and Applications 2007 2008:852676

    Content type: Research Article

    Published on:

  14. 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

    Content type: Research Article

    Published on:

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