The Diamond Integral on Time Scales

被引：0
作者：
Artur M. C. Brito da Cruz
Natália Martins
Delfim F. M. Torres
机构：
[1] Escola Superior de Tecnologia de Setúbal,Department of Mathematics, CIDMA–Center for Research and Development in Mathematics and Applications
[2] University of Aveiro,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2015年 / 38卷
关键词：
Diamond integral; Time scales; Integral inequalities; 26D15; 26E70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define a more general type of integral on time scales. The new diamond integral is a refined version of the diamond-alpha integral introduced in 2006 by Sheng et al. A mean value theorem for the diamond integral is proved, as well as versions of Holder’s, Cauchy–Schwarz’s, and Minkowski’s inequalities.
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页码：1453 / 1462
页数：9
相关论文
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