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http://hdl.handle.net/10773/26294| Title: | Some inequalities for interval-valued functions on time scales |
| Author: | Zhao, Dafang Ye, Guoju Liu, Wei Torres, Delfim F. M. |
| Keywords: | Interval-valued functions Time scales Hölder’s inequality Minkowski’s inequality Jensen’s inequality |
| Issue Date: | Aug-2019 |
| Publisher: | Springer |
| Abstract: | We introduce the interval Darboux delta integral (shortly, the IDΔ -integral) and the interval Riemann delta integral (shortly, the IR Δ -integral) for interval-valued functions on time scales. Fundamental properties of ID and IR Δ -integrals and examples are given. Finally, we prove Jensen’s, Hölder’s and Minkowski’s inequalities for the IR Δ -integral. Also, some examples are given to illustrate our theorems |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/26294 |
| DOI: | 10.1007/s00500-018-3538-6 |
| ISSN: | 1432-7643 |
| Publisher Version: | http://dx.doi.org/10.1007/s00500-018-3538-6 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [415]inequalities_interval-valued_functions_time_scales.pdf | 482.89 kB | Adobe PDF |  |
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