On Hardy-type integral inequalities with the gamma function

被引：0
|
作者：
Jianquan Liao
Bicheng Yang
机构：
[1] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2017卷
关键词：
Hardy-type integral inequality; weight function; equivalent form; operator; norm; 26D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By means of real analysis and weight functions, we obtain a few equivalent conditions of two kinds of Hardy-type integral inequalities with the non-homogeneous kernel and parameters. The constant factors related to the gamma function are proved to be the best possible. We also consider the operator expressions and some cases of homogeneous kernel.
引用
收藏
相关论文
共 50 条
  • [1] On Hardy-type integral inequalities with the gamma function
    Liao, Jianquan
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [2] On Hardy-type integral inequalities
    冷拓
    冯勇
    AppliedMathematicsandMechanics(EnglishEdition), 2013, 34 (10) : 1297 - 1304
  • [3] On Hardy-type integral inequalities
    Leng, Tuo
    Feng, Yong
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2013, 34 (10) : 1297 - 1304
  • [4] On Hardy-type integral inequalities
    Tuo Leng
    Yong Feng
    Applied Mathematics and Mechanics, 2013, 34 : 1297 - 1304
  • [5] On a scale of Hardy-type integral inequalities
    Dubinskii, Yu. A.
    DOKLADY MATHEMATICS, 2010, 81 (01) : 111 - 114
  • [6] New Hardy-type integral inequalities
    Manna, Atanu
    ACTA SCIENTIARUM MATHEMATICARUM, 2020, 86 (3-4): : 467 - 491
  • [7] On a scale of Hardy-type integral inequalities
    Yu. A. Dubinskii
    Doklady Mathematics, 2010, 81 : 111 - 114
  • [8] New Hardy-type integral inequalities
    Atanu Manna
    Acta Scientiarum Mathematicarum, 2020, 86 : 467 - 491
  • [9] On Some Refinements of Hardy-type Integral inequalities
    Ajisope, Michael O.
    Rauf, Kamilu
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (04): : 879 - 888
  • [10] Refinements of Hardy-type Integral Inequalities with Kernels
    Iqbal, Sajid
    Himmelreich, Kristina Krulic
    Pecaric, Josip
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2016, 48 (01): : 19 - 28
12345