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  1. 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
  2. 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
  3. 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
  4. By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces. We prove some new existence results of solutions for...

    Authors: Ke-Qing Wu, Nan-Jing Huang and Jen-Chih Yao
    Citation: Journal of Inequalities and Applications 2007 2007:056161
  5. We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set. This gives us a method to approximate a Sobolev function wit...

    Authors: Petteri Harjulehto, Juha Kinnunen and Katja Tuhkanen
    Citation: Journal of Inequalities and Applications 2007 2007:032324
  6. We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the s...

    Authors: Yonghong Yao, Yeong-Cheng Liou and Jen-Chih Yao
    Citation: Journal of Inequalities and Applications 2007 2007:038752
  7. We consider a numerical method for proving a class of analytical inequalities via minimax rational approximations. All numerical calculations in this paper are given by Maple computer program.

    Authors: Branko J Malešević
    Citation: Journal of Inequalities and Applications 2007 2007:078691
  8. The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.

    Authors: Lanzhe Liu
    Citation: Journal of Inequalities and Applications 2006 2006:58473
  9. A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established. A geometric inequality is derived between the...

    Authors: Lu Fenghong, Mao Weihong and Leng Gangsong
    Citation: Journal of Inequalities and Applications 2006 2007:039345
  10. We consider continuously differentiable means, say http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F75941/MediaObjects/13660_2006_Article_1635_IEq1_HTML.gif -means. As for quasi-arithmetic means http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F75941/MediaObjects/13660_2006_Article_1635_IEq2_HTML.gif ...

    Authors: Jun Ichi Fujii, Masatoshi Fujii, Takeshi Miura, Hiroyuki Takagi and Sin-Ei Takahasi
    Citation: Journal of Inequalities and Applications 2006 2006:75941
  11. Some properties of http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F93532/MediaObjects/13660_2006_Article_1659_IEq2_HTML.gif -preinvexity for vector-valued functions are given and interrelations among http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F93532/MediaObjects/13660_2006_Article_1659_IEq3_HTML.gif ...

    Authors: Jian-Wen Peng and Dao-Li Zhu
    Citation: Journal of Inequalities and Applications 2006 2006:093532
  12. We study extended Hardy inequalities using Littlewood-Paley theory and nonlinear estimates' method in Besov spaces. Our results improve and extend the well-known results of Cazenave (2003).

    Authors: Junyong Zhang
    Citation: Journal of Inequalities and Applications 2006 2006:69379
  13. We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's...

    Authors: Chang-Jian Zhao and Wing-Sum Cheung
    Citation: Journal of Inequalities and Applications 2006 2006:97860
  14. We establish some inequalities for the dual http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F84825/MediaObjects/13660_2005_Article_1648_IEq2_HTML.gif -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we esta...

    Authors: Si Lin, Xiong Bin and Yu Wuyang
    Citation: Journal of Inequalities and Applications 2006 2006:84825
  15. We deal with the stability of the orthogonality preserving property in the class of mappings phase-equivalent to linear or conjugate-linear ones. We give a characterization of approximately orthogonality prese...

    Authors: Jacek Chmieliński
    Citation: Journal of Inequalities and Applications 2006 2006:76489
  16. Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In...

    Authors: M. A. Navascués and M. V. Sebastián
    Citation: Journal of Inequalities and Applications 2006 2006:78734
  17. We give a new interpretation of Hua's inequality and its generalization. From this interpretation, we know the best possibility of those inequalities.

    Authors: Hiroyuki Takagi, Takeshi Miura, Takahiro Hayata and Sin-Ei Takahasi
    Citation: Journal of Inequalities and Applications 2006 2006:21540

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