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  1. The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize a...

    Authors: Shih-sen Chang, Jong Kyu Kim, H W Joseph Lee and Chi Kin Chan
    Citation: Journal of Inequalities and Applications 2012 2012:37
  2. First we present and discuss an important proof of Hardy's inequality via Jensen's inequality which Hardy and his collaborators did not discover during the 10 years of research until Hardy finally proved his f...

    Authors: Lars-Erik Persson and Natasha Samko
    Citation: Journal of Inequalities and Applications 2012 2012:29
  3. In this article, we deduce a new family of upper bounds of n! of the form

    Authors: Mansour Mahmoud, Mohammed A Alghamdi and Ravi P Agarwal
    Citation: Journal of Inequalities and Applications 2012 2012:27
  4. In this article, we obtain the necessary and sufficient conditions that the semi-invariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic ...

    Authors: Meraj Ali Khan, Siraj Uddin and Rashmi Sachdeva
    Citation: Journal of Inequalities and Applications 2012 2012:19
  5. This article aims to discuss Heinz inequalities involving unitarily invariant norms. We obtain refinements of the Heinz inequalities. In particular, our results refine some results given in Kittaneh.

    Authors: Yuming Feng
    Citation: Journal of Inequalities and Applications 2012 2012:18
  6. Let X, X1, X2,... be a sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution. A universal result in almost sure limit theorem for the self-norma...

    Authors: Qunying Wu
    Citation: Journal of Inequalities and Applications 2012 2012:17
  7. In real reflexive separable Banach space which admits a weakly sequentially continuous duality mapping, the sufficient and necessary conditions that nonexpansive random self-mapping has a random fixed point ar...

    Authors: Suhong Li, Xin Xiao, Lihua Li and Jinfeng Lv
    Citation: Journal of Inequalities and Applications 2012 2012:16
  8. In this investigation, motivated from Breaz study, we introduce a new family of integral operator using famous convolution technique. We also apply this newly defined operator for investigating some interestin...

    Authors: Muhammad Arif, Khalida Inayat Noor and Fazal Ghani
    Citation: Journal of Inequalities and Applications 2012 2012:13
  9. In this article, we introduce and consider the three-step iterative algorithms for solving a new system of generalized mixed variational inequalities involving different three multi-valued operators. In this s...

    Authors: Nawitcha Onjai-uea and Poom Kumam
    Citation: Journal of Inequalities and Applications 2012 2012:9
  10. In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and ...

    Authors: Somyot Plubtieng and Tipphawan Thammathiwat
    Citation: Journal of Inequalities and Applications 2012 2012:8
  11. In this article, the modified Noor iterations are considered for the generalized contraction and a nonexpansive semigroup in the framework of a reflexive Banach space which admits a weakly sequentially continu...

    Authors: Rabian Wangkeeree and Pakkapon Preechasilp
    Citation: Journal of Inequalities and Applications 2012 2012:6
  12. The objective of this article is to show a refinement of Sándor-Tóth's inequality related to the arithmetic functions which use unitary divisors. A new estimate of the average order of the arithmetic function ...

    Authors: Nicuşor Minculete, Claudiu Pozna and Radu-Emil Precup
    Citation: Journal of Inequalities and Applications 2012 2012:4
  13. A special case of Mahler volume for the class of symmetric convex bodies in ℝ3 is treated here. It is shown that a cube has the minimal Mahler volume and a cylinder has the maximal Mahler volume for all generaliz...

    Authors: Hu Yan
    Citation: Journal of Inequalities and Applications 2012 2012:3
  14. In this paper, we study a convergence theorem for a finite second-order Markov chain indexed by a general infinite tree with uniformly bounded degree. Meanwhile, the strong law of large numbers (LLN) and Shann...

    Authors: Zhiyan Shi, Weiguo Yang, Lixin Tian and Qingpei Zang
    Citation: Journal of Inequalities and Applications 2012 2012:2
  15. In this paper, we are to establish a class of strong deviation theorems for the random fields relative to m th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree. As corollaries, we obtain the ...

    Authors: Zhiyan Shi, Weiguo Yang, Lixin Tian and Weicai Peng
    Citation: Journal of Inequalities and Applications 2012 2012:1
  16. Some exponential inequalities for a sequence of acceptable random variables are obtained, such as Bernstein-type inequality, Hoeffding-type inequality. The Bernstein-type inequality for acceptable random varia...

    Authors: Aiting Shen, Shuhe Hu, Andrei Volodin and Xuejun Wang
    Citation: Journal of Inequalities and Applications 2011 2011:142
  17. In this paper, using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following additive functional equation

    Authors: Hassan Azadi Kenary, Hamid Rezaei, Anoshiravan Ghaffaripour, Saedeh Talebzadeh, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2011 2011:140
  18. A method of sharpening Jordan's inequality proposed by Li-Li would be improved. Increasing lower bounds and decreasing upper bounds for strengthened Jordan's inequality can be constructed and the errors of low...

    Authors: Meng-Kuang Kuo
    Citation: Journal of Inequalities and Applications 2011 2011:130

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