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  1. We consider a general integral operator and the class of analytic functions. We extend some univalent conditions of Becker's type for analytic functions using a general integral transform.

    Authors: Daniel Breaz and Nicoleta Breaz
    Citation: Journal of Inequalities and Applications 2008 2007:086493
  2. The main purpose of this paper is to present two methods of sharpening Jordan's inequality. The first method shows that one can obtain new strengthened Jordan's inequalities from old ones. The other method sho...

    Authors: Jian-Lin Li and Yan-Ling Li
    Citation: Journal of Inequalities and Applications 2008 2007:074328
  3. Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.

    Authors: Ravi P Agarwal, Cheon Seoung Ryoo and Young-Ho Kim
    Citation: Journal of Inequalities and Applications 2008 2007:024385
  4. We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concerning these modulus for some classical Banach spaces are determined. Some applications in geometry of Banach s...

    Authors: Fenghui Wang
    Citation: Journal of Inequalities and Applications 2008 2007:071012
  5. In a recent paper by Savaş and Şevli (2007), it was shown that each Cesáro matrix of order http://static-content.springer.com/image/art%3A10.1155%2F2008%2F257318/MediaObjects/13660_2007_Article_1783_IEq1_HTML.gif , for ...

    Authors: E. Savaş, H. Şevli and B. E. Rhoades
    Citation: Journal of Inequalities and Applications 2008 2008:257318
  6. We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system...

    Authors: Jian-Wen Peng and Xiao-Ping Zheng
    Citation: Journal of Inequalities and Applications 2008 2007:036845
  7. We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study th...

    Authors: Xiaolong Qin and Meijuan Shang
    Citation: Journal of Inequalities and Applications 2008 2007:020457
  8. We solve the generalized Hyers-Ulam stability problem for multidimensional Euler-Lagrange quadratic mappings which extend the original Euler-Lagrange quadratic mappings.

    Authors: Hark-Mahn Kim, John Michael Rassias and Young-Sun Cho
    Citation: Journal of Inequalities and Applications 2008 2007:010725
  9. We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary http://static-content.springer.com/image/art%3A10.1155%2F2007%2F34138/MediaObjects/13660_2007_Article_1696_IEq1_HTML.gif

    Authors: GA Chechkin, Yu O Koroleva and L-E Persson
    Citation: Journal of Inequalities and Applications 2008 2007:034138
  10. Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel fu...

    Authors: Árpád Baricz and Ling Zhu
    Citation: Journal of Inequalities and Applications 2008 2007:082038
  11. We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained. Some applications in p...

    Authors: Slavko Simic
    Citation: Journal of Inequalities and Applications 2008 2007:037359
  12. For analytic functions http://static-content.springer.com/image/art%3A10.1155%2F2007%2F14630/MediaObjects/13660_2007_Article_1673_IEq1_HTML.gif in the open unit disc http://static-content.springer.com/image/art%3A10.1155%2F2007%2F14630/MediaObjects/13660_2007_Article_1673_IEq2_HTML.gif with

    Authors: M Çag̃lar, Y Polatog̃lu, A Şen, E Yavuz and S Owa
    Citation: Journal of Inequalities and Applications 2008 2007:014630
  13. Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in th...

    Authors: Yonghong Yao and Yeong-Cheng Liou
    Citation: Journal of Inequalities and Applications 2008 2008:280908
  14. Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are d...

    Authors: Jingbo Dou, Pengcheng Niu and Zixia Yuan
    Citation: Journal of Inequalities and Applications 2007 2007:032585
  15. The purpose of this paper is to investigate some nonlinear integral inequalities on time scales. Our results unify and extend some continuous inequalities and their corresponding discrete analogues. The theore...

    Authors: Wei Nian Li and Weihong Sheng
    Citation: Journal of Inequalities and Applications 2007 2007:070465
  16. We investigate when a natural iterative method converges to the exact solution of a differential-functional von Foerster-type equation which describes a single population depending on its past time and state d...

    Authors: Henryk Leszczyński and Piotr Zwierkowski
    Citation: Journal of Inequalities and Applications 2007 2007:012324
  17. We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel differential equation.

    Authors: Byungbae Kim and Soon-Mo Jung
    Citation: Journal of Inequalities and Applications 2007 2007:021640
  18. We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. So...

    Authors: XianJun Long, Nan-Jing Huang and Kok Lay Teo
    Citation: Journal of Inequalities and Applications 2007 2008:657329
  19. This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.

    Authors: Zhao Changjian and Wing-Sum Cheung
    Citation: Journal of Inequalities and Applications 2007 2008:693248
  20. We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common el...

    Authors: Yongfu Su, Meijuan Shang and Xiaolong Qin
    Citation: Journal of Inequalities and Applications 2007 2007:064947

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