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  1. In this paper, the exponential stability analysis problem is considered for a class of recurrent neural networks (RNNs) with random delay and Markovian switching. The evolution of the delay is modeled by a con...

    Authors: Enwen Zhu, Yong Wang, Yueheng Wang, Hanjun Zhang and Jiezhong Zou
    Citation: Journal of Inequalities and Applications 2010 2010:191546
  2. A basic theorem is established and found to be a source of inequalities for hyperbolic functions, such as the ones of Cusa, Huygens, Wilker, Sandor-Bencze, Carlson, Shafer-Fink type inequality, and the one in ...

    Authors: L Zhu
    Citation: Journal of Inequalities and Applications 2010 2010:130821
  3. General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, clos...

    Authors: RosihanM Ali, MoradiNargesi Mahnaz, V Ravichandran and KG Subramanian
    Citation: Journal of Inequalities and Applications 2010 2010:385728
  4. This paper is concerned with a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the resul...

    Authors: Min He
    Citation: Journal of Inequalities and Applications 2010 2010:796165
  5. We study the set of all spreading models generated by weakly null sequences in Orlicz sequence spaces equipped with partial order by domination. A sufficient and necessary condition for the above-mentioned set...

    Authors: Cuixia Hao, Linlin Lü and Hongping Yin
    Citation: Journal of Inequalities and Applications 2010 2010:962842
  6. The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued ma...

    Authors: Phayap Katchang and Poom Kumam
    Citation: Journal of Inequalities and Applications 2010 2010:370197
  7. This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as

    Authors: R Klén, M Visuri and M Vuorinen
    Citation: Journal of Inequalities and Applications 2010 2010:362548
  8. We study http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584642/MediaObjects/13660_2010_Article_2193_IEq2_HTML.gif -normal operators and http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584642/MediaObjects/13660_2010_Article_2193_IEq3_HTML.gif -hyponormal operators. We sho...

    Authors: Xiaohuan Wang and Zongsheng Gao
    Citation: Journal of Inequalities and Applications 2010 2010:584642
  9. We introduce an iterative sequence and prove a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive mapping in Hilbert s...

    Authors: Somyot Plubtieng and Kamonrat Sombut
    Citation: Journal of Inequalities and Applications 2010 2010:246237
  10. We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elemen...

    Authors: Erhan Set, MEmin Özdemir and SeverS Dragomir
    Citation: Journal of Inequalities and Applications 2010 2010:148102
  11. By using the concept of Fréchet differentiability of mapping, we present the Kuhn-Tucker optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution, and globally eff...

    Authors: Zhen-Fei Wei and Xun-Hua Gong
    Citation: Journal of Inequalities and Applications 2010 2010:842715
  12. We derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about id...

    Authors: DaeSan Kim and KyoungHo Park
    Citation: Journal of Inequalities and Applications 2010 2010:851521
  13. By the notation and monotone convergence theorem of Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral boundary conditio...

    Authors: Guoju Ye and Xiuli Li
    Citation: Journal of Inequalities and Applications 2010 2010:807178
  14. The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Li...

    Authors: M Mateljević and M Vuorinen
    Citation: Journal of Inequalities and Applications 2010 2010:178732
  15. Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.

    Authors: Ken-Ichi Mitani and Kichi-Suke Saito
    Citation: Journal of Inequalities and Applications 2010 2010:323609
  16. We first define a new Laplacian spectrum based on Estrada index, namely, Laplacian Estrada-like invariant, LEEL, and two new Estrada index-like quantities, denoted by S and ...

    Authors: A Dilek Güngör
    Citation: Journal of Inequalities and Applications 2010 2010:904196
  17. This paper studies some normality criteria for a family of meromorphic functions, which improve some results of Lahiri, Lu and Gu, as well as Charak and Rieppo.

    Authors: Junfeng Xu and Wensheng Cao
    Citation: Journal of Inequalities and Applications 2010 2010:926302
  18. Firstly, we define an order for differential forms. Secondly, we also define the supersolution and subsolution of the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F767150/MediaObjects/13660_2009_Article_2244_IEq2_HTML.gif -harmonic equation and the...

    Authors: Zhenhua Cao, Gejun Bao and Haijing Zhu
    Citation: Journal of Inequalities and Applications 2010 2010:767150
  19. The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from...

    Authors: Bruno Ascenso Simões
    Citation: Journal of Inequalities and Applications 2010 2010:594843
  20. The purpose of this paper is to investigate some new dynamic inequalities on time scales. We establish some new dynamic inequalities; the results unify and extend some continuous inequalities and their corresp...

    Authors: Run Xu, Fanwei Meng and Cuihua Song
    Citation: Journal of Inequalities and Applications 2010 2010:464976
  21. We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semi...

    Authors: Zübeyde Ulukök and Ramazan Türkmen
    Citation: Journal of Inequalities and Applications 2010 2010:201486

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