Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/11796| Title: | Generalizations of Steffensen's inequality via Fink's identity and related results II | Authors: | Pecaric, Josip Perusic Pribanic, Anamarija Vukelic, Ana |
Keywords: | Steffensen's inequality; Fink's identity; Ostrowski inequality; Cebysev functional; n-exponential convexity; exponential convexity; log-convexity; Primary 26D15; Secondary 26D20 | Issue Date: | 2015 | Publisher: | EUT Edizioni Università di Trieste | Source: | Josip Pecaric, Anamarija Perusic Pribanic, Ana Vukelic "Generalizations of Steffensen's inequality via Fink's identity and related results II", in Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 47 (2015) | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 47 (2015) |
Abstract: | We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebysev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen's inequality for n-convex functions. Finally, we use the segeneralizations to construct a linear functional that generates exponentially convex functions. We use Fink’s identity to obtain new identities related to generalizations of Steffensen’s inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebysev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen’s inequality for n-convex functions. Finally, we use these generalizations to construct a linear functional that aenerates exvonentiallv convex functions. |
Type: | Article | URI: | http://hdl.handle.net/10077/11796 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/0049-4704/11796 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| RIMUT_47_13_Pecaric.pdf | Full text article | 315.71 kB | Adobe PDF |  View/Open |
CORE Recommender
Page view(s)
538
checked on Dec 15, 2019
Download(s)
285
checked on Dec 15, 2019
Google ScholarTM
Check
Altmetric
This item is licensed under a Creative Commons License
