The diamond integral reverse Hölder inequality and related results on time scales

Advances in Difference Equations

Cheng-Dong Wei¹  Guang-Sheng Chen² 

[1] Department of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, China;Key Laboratory for Mixed and Missing Data Statistics of the Education Department of Guangxi Province, Guangxi Teachers Education University, Nanning, China

关键词: diamond integral;    time scales;    Hölder’s inequality;    Minkowski’s inequality;    Dresher’s inequality;    26D15;    26E70;   

DOI  :  10.1186/s13662-015-0519-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish reverse Hölder’s inequality on time scales via diamond integral, which is defined as an ‘approximate’ symmetric integral on time scales. Moreover, we give some generalizations of diamond integral Hölder’s inequality which is due to Brito da Cruz et al. Several other related inequalities are also presented.

【 授权许可】

CC BY