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  1. We investigate some properties of non-Archimedean integration which is defined by Kim. By using our results in this paper, we can give an answer to the problem which is introduced by I.-C. Huang and S.-Y. Huan...

    Authors: Lee-Chae Jang, Seoung-Dong Kim, Dal-Won Park and Young-Soon Ro

    Citation: Journal of Inequalities and Applications 2006 2006:34602

    Content type: Research Article

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  2. We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.

    Authors: Branko J. Malešević

    Citation: Journal of Inequalities and Applications 2006 2006:83206

    Content type: Research Article

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  3. This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.

    Authors: B. Xu and D. L. Zhu

    Citation: Journal of Inequalities and Applications 2006 2006:57071

    Content type: Research Article

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  4. We introduce a new class of normalized norms on http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F26265/MediaObjects/13660_2005_Article_1579_IEq2_HTML.gif which properly contains all absolute normalized norms. We also give a criterion for deci...

    Authors: Weerayuth Nilsrakoo and Satit Saejung

    Citation: Journal of Inequalities and Applications 2006 2006:026265

    Content type: Research Article

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  5. We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. ...

    Authors: V. A. Klyachin, A. V. Kochetov and V. M. Miklyukov

    Citation: Journal of Inequalities and Applications 2006 2006:21693

    Content type: Research Article

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  6. We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite ma...

    Authors: Shusen Ding and Bing Liu

    Citation: Journal of Inequalities and Applications 2006 2006:89134

    Content type: Research Article

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  7. The goal of the paper is twofold: (1) to show that the exact value http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F68969/MediaObjects/13660_2005_Article_1628_IEq1_HTML.gif in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a ne...

    Authors: Sergei Chobanyan, Shlomo Levental and Habib Salehi

    Citation: Journal of Inequalities and Applications 2006 2006:68969

    Content type: Research Article

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  8. We prove Turán-type inequalities for some special functions by using a generalization of the Schwarz inequality.

    Authors: A. Laforgia and P. Natalini

    Citation: Journal of Inequalities and Applications 2006 2006:29828

    Content type: Research Article

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  9. The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalue...

    Authors: S. S. Chang, D. O'Regan and J. K. Kim

    Citation: Journal of Inequalities and Applications 2006 2006:45164

    Content type: Research Article

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  10. Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F74960/MediaObjects/13660_2004_Article_1634_IEq2_HTML.gif acting continuously in

    Authors: Claudia Capone, Alberto Fiorenza and Miroslav Krbec

    Citation: Journal of Inequalities and Applications 2006 2006:74960

    Content type: Research Article

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  11. We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.

    Authors: Der-Chen Chang, Tristan Nguyen, Gang Wang and Norman M. Wereley

    Citation: Journal of Inequalities and Applications 2006 2006:32356

    Content type: Research Article

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  12. We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Little...

    Authors: Árpád Bényi and Choonghong Tadahiro Oh

    Citation: Journal of Inequalities and Applications 2006 2006:28582

    Content type: Research Article

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  13. Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.

    Authors: Jian-Wen Peng and Xin-Min Yang

    Citation: Journal of Inequalities and Applications 2006 2006:59387

    Content type: Research Article

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  14. We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit v...

    Authors: Jian-Wen Peng

    Citation: Journal of Inequalities and Applications 2006 2006:16764

    Content type: Research Article

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  15. A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are pro...

    Authors: Givi Berikelashvili

    Citation: Journal of Inequalities and Applications 2006 2006:93858

    Content type: Research Article

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  16. We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and...

    Authors: Cheh-Chih Yeh, Huei-Lin Hong, Horng-Jaan Li and Shiueh-Ling Yu

    Citation: Journal of Inequalities and Applications 2006 2006:97430

    Content type: Research Article

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  17. We study nonlinear ODE problems in the complex Euclidean space, with the right-hand side being polynomial with nonconstant periodic coefficients. As the coefficients functions, we admit only functions with van...

    Authors: Andrei Borisovich and Wacław Marzantowicz

    Citation: Journal of Inequalities and Applications 2006 2006:42908

    Content type: Research Article

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  18. We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal po...

    Authors: Slavko Simic

    Citation: Journal of Inequalities and Applications 2006 2006:91420

    Content type: Research Article

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  19. Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. O...

    Authors: Jaroslav Jaroš, Kusano Takaŝi and Norio Yoshida

    Citation: Journal of Inequalities and Applications 2006 2006:52378

    Content type: Research Article

    Published on:

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