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  1. Content type: Research Article

    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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  2. Content type: Research Article

    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

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  3. Content type: Research Article

    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

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  4. Content type: Research Article

    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

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  5. Content type: Research Article

    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

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  6. Content type: Research Article

    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

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  7. Content type: Research Article

    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

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  8. Content type: Research Article

    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

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  9. Content type: Research Article

    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

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  10. Content type: Research Article

    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

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  11. Content type: Research Article

    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

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  12. Content type: Research Article

    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,...

    Authors: Si Lin, Xiong Bin and Yu Wuyang

    Citation: Journal of Inequalities and Applications 2006 2006:84825

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  13. Content type: Research Article

    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

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  14. Content type: Research Article

    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

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  15. Content type: Research Article

    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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  16. Content type: Research Article

    We develop an iterative algorithm for computing the approximate solutions of mixed quasi-variational-like inequality problems with skew-symmetric terms in the setting of reflexive Banach spaces. We use Fan-KKM...

    Authors: Lu-Chuan Ceng, Qamrul Hasan Ansari and Jen-Chih Yao

    Citation: Journal of Inequalities and Applications 2006 2006:82695

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  17. Content type: Research Article

    We consider two quasistatic frictionless contact problems for viscoelastic bodies with long memory. In the first problem the contact is modelled with Signorini's conditions and in the second one is modelled wi...

    Authors: Mohamed Selmani and Mircea Sofonea

    Citation: Journal of Inequalities and Applications 2006 2006:36130

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