Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015)
  6. Generalizations of Steffensen's inequality via Fink's identity and related results II
 
  • Details
  • Metrics
Options

Generalizations of Steffensen's inequality via Fink's identity and related results II

Pecaric, Josip
•
Perusic Pribanic, Anamarija
•
Vukelic, Ana
2015
Loading...
Thumbnail Image
ISSN
0049-4704
DOI
10.13137/0049-4704/11796
http://hdl.handle.net/10077/11796
  • Article

e-ISSN
2464-8728
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 these generalizations to construct a linear functional that aenerates exvonentiallv convex functions.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Subjects
  • Steffensen's inequali...

  • Fink's identity

  • Ostrowski inequality

  • Cebysev functional

  • n-exponential convexi...

  • exponential convexity...

  • log-convexity

  • Primary 26D15

  • Secondary 26D20

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)
Languages
en
File(s)
Loading...
Thumbnail Image
Download
Name

RIMUT_47_13_Pecaric.pdf

Format

Adobe PDF

Size

315.71 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback