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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to b...

    Authors: Shuhong Chen and Zhong Tan
    Citation: Journal of Inequalities and Applications 2010 2010:680714
  7. 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
  8. 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
  9. By using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic norm...

    Authors: YeolJe Cho, Heng-you Lan and Nan-jing Huang
    Citation: Journal of Inequalities and Applications 2010 2010:152978
  10. The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Mink...

    Authors: Horst Martini and Zokhrab Mustafaev
    Citation: Journal of Inequalities and Applications 2010 2010:697954
  11. A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision making under uncertainty rely on estimates of the covariance between (transformed) random variables, which c...

    Authors: Martín Egozcue, Luis Fuentes García, Wing-Keung Wong and Ričardas Zitikis
    Citation: Journal of Inequalities and Applications 2010 2010:619423
  12. We introduce nondifferentiable multiobjective programming problems involving the support function of a compact convex set and linear functions. The concept of (properly) efficient solutions are presented. We f...

    Authors: KwanDeok Bae, YoungMin Kang and DoSang Kim
    Citation: Journal of Inequalities and Applications 2010 2010:930457
  13. Motivated and inspired by the recent works on implicit iteration methods, we prove necessary and sufficient conditions for strong convergence of the eventually implicit iteration methods with errors to a commo...

    Authors: Tae-Hwa Kim and Kui-Yeon Kim
    Citation: Journal of Inequalities and Applications 2010 2010:820535
  14. In 1994, Lavoie et al. have succeeded in artificially constructing a formula consisting of twenty three interesting results, except for five cases, closely related to the classical Dixon's theorem on the sum o...

    Authors: Junesang Choi
    Citation: Journal of Inequalities and Applications 2010 2010:589618
  15. Motivated by the work of B.-S. Lian and Q.-H. Yang (2010) we proved an Ostrowski inequality associated with Carnot-Carathéodory distance in the Grushin plane. The procedure is based on a representation formula...

    Authors: Heng-Xing Liu and Jing-Wen Luan
    Citation: Journal of Inequalities and Applications 2010 2010:987484
  16. We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapuno...

    Authors: M Anwar, N Latif and J Pečarić
    Citation: Journal of Inequalities and Applications 2010 2010:728251
  17. The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks (CGNNs) with random delay. The evolution of the delay is modeled by a continuous-time homoge...

    Authors: Enwen Zhu, Hanjun Zhang and Jiezhong Zou
    Citation: Journal of Inequalities and Applications 2010 2010:247587
  18. We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms ...

    Authors: Tacksun Jung and Q-Heung Choi
    Citation: Journal of Inequalities and Applications 2010 2010:850602

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