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Recent Trends on Inequalities and its Applications

This special issue hosts selective papers presented in ICAAA2012-Istanbul. This issue is focused on recent trends and new ideas in the area of inequalities, its applications and related topics.

Edited by: Adem Kilicman and Prof Yasar Sozen

  1. Research

    Functional equations and inequalities in matrix paranormed spaces

    In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.

    Choonkil Park, Jung Rye Lee and Dong Yun Shin

    Journal of Inequalities and Applications 2013 2013:547

    Published on: 19 November 2013

  2. Research

    The relation between A-harmonic operator and A-Dirac system

    In this paper, we show how an A-harmonic operator arises from Dirac systems under controllable growth condition. By the method of removable singularities for solutions to the A-Dirac system with controllable g...

    Zhanlei Wang and Shuhong Chen

    Journal of Inequalities and Applications 2013 2013:362

    Published on: 5 August 2013

  3. Research

    Power series inequalities via Young’s inequality with applications

    In this paper, we establish some inequalities for power series with real coefficients by utilizing Young’s inequality for sequences of complex numbers. Some applications for special functions such as polylogar...

    Alawiah Ibrahim, Sever S Dragomir and Maslina Darus

    Journal of Inequalities and Applications 2013 2013:314

    Published on: 3 July 2013

  4. Research

    Inequalities related to the third Jackson q-Bessel function of order zero

    In Bettaibi and Bouzeffour (J. Math. Anal. Appl. 342:1203-1219, 2008), some properties of the third Jackson q-Bessel function of order zero were established. This paper is devoted to studying the q-convolution pr...

    Hédi Elmonser, Mouna Sellami and Ahmed Fitouhi

    Journal of Inequalities and Applications 2013 2013:289

    Published on: 6 June 2013

  5. Research

    Probability inequality concerning a chirp-type signal

    Probability inequalities of random variables play important roles, especially in the theory of limiting theorems of sums of independent random variables. In this note, we give a proof of the following:

    Kanthi Perera

    Journal of Inequalities and Applications 2013 2013:131

    Published on: 27 March 2013

  6. Review

    On Chen invariants and inequalities in quaternionic geometry

    In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.

    Gabriel-Eduard Vîlcu

    Journal of Inequalities and Applications 2013 2013:66

    Published on: 22 February 2013

  7. Research

    Cesáro partial sums of certain analytic functions

    The aim of the present paper is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk. By using the Cesáro partial s...

    Rabha W Ibrahim and Maslina Darus

    Journal of Inequalities and Applications 2013 2013:51

    Published on: 14 February 2013

  8. Research

    Application of a finite element method for variational inequalities

    In this paper we explore the application of a finite element method (FEM) to the inequality and Laplacian constrained variational optimization problems. First, we illustrate the connection between the optimiza...

    Mehmet Ali Akinlar

    Journal of Inequalities and Applications 2013 2013:45

    Published on: 12 February 2013

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