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

Pecaric, Josip
•
Perusic Pribanic, Anamarija
•
Vukelic, Ana
2015
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ISSN
0049-4704
DOI
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
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)
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en
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