Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14655| Title: | The diamond integral on time scales |
| Author: | Brito da Cruz, A. M. C. Martins, N. Torres, D. F. M. |
| Keywords: | Diamond integral Integral inequalities Time scales |
| Issue Date: | 2015 |
| Publisher: | Springer |
| Abstract: | 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. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/14655 |
| DOI: | 10.1007/s40840-014-0096-7 |
| ISSN: | 0126-6705 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [273]Brito-da-Cruz_Martins_Torres-BMMSS.pdf | 614.39 kB | Adobe PDF |  |
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