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Recent Developments of Integral Inequalities and its Applications

Research in the fascinating area of Integral Inequalities, including several surprising applications and new directions, has been described in a great number of papers and monographs. This development has almost exploded during the last years. The main aim of this issue is to present a number of representative results and recent developments within this fascinating area. Special focus will be on applications and new directions, which can serve as a source of inspiration for new research in mathematics and for applications both in mathematical sciences and related applied areas.

Edited by Lars-Erik Persson, Maria Alessandra Ragusa and Barza Sorina

  1. Research

    Uniform rotundity in every direction of Orlicz-Sobolev spaces

    In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria ...

    Fayun Cao, Rui Mao and Bing Wang

    Journal of Inequalities and Applications 2016 2016:277

    Published on: 8 November 2016

  2. Research

    Some properties of solutions for a nonlinear integral system

    In this paper, a nonlinear integral system is considered in critical space. Some important properties of positive solutions such as symmetry, monotonicity, integrability, and asymptotic behaviors, are obtained...

    Xiaoying Wang, Junjie Li and Jiankai Xu

    Journal of Inequalities and Applications 2016 2016:8

    Published on: 4 January 2016

  3. Research

    The Sugeno fuzzy integral of log-convex functions

    In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We present a geometric interpretation and some examples in the fram...

    Sadegh Abbaszadeh, Madjid Eshaghi and Manuel de la Sen

    Journal of Inequalities and Applications 2015 2015:362

    Published on: 14 November 2015

  4. Research

    Remarks on some inequalities for s-convex functions and applications

    Some new inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and co...

    Zheng Liu

    Journal of Inequalities and Applications 2015 2015:333

    Published on: 14 October 2015

  5. Research

    On some delay nonlinear integral inequalities in two independent variables

    The purpose of this paper is to generalize some integral inequalities in two independent variables with delay which can be used as handy tools in the study of certain partial differential equations and integra...

    Ammar Boudeliou and Hassane Khellaf

    Journal of Inequalities and Applications 2015 2015:313

    Published on: 6 October 2015

  6. Research

    Notions of generalized s-convex functions on fractal sets

    The purpose of this article is to present some new inequalities for products of generalized convex and generalized s-convex functions on fractal sets. Furthermore, some applications are given.

    Adem Kılıçman and Wedad Saleh

    Journal of Inequalities and Applications 2015 2015:312

    Published on: 6 October 2015

  7. Research

    Hardy-type inequalities associated with the Weinstein operator

    In this article, we define and we study the Hardy spaces associated with the Weinstein operator. We establish refined Sobolev inequalities between the homogeneous Weinstein-Besov spaces and many spaces, as the...

    Hatem Mejjaoli

    Journal of Inequalities and Applications 2015 2015:267

    Published on: 4 September 2015