Reverses of the Jensen-Type Inequalities for Signed Measures
Joint Authors
Pecaric, Josip E.
Jakšić, Rozarija
Rodić Lipanović, Mirna
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen's inequality and its reverses for positive measures.
Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied.
The outcome is a new class of Cauchy-type means.
American Psychological Association (APA)
Jakšić, Rozarija& Pecaric, Josip E.& Rodić Lipanović, Mirna. 2014. Reverses of the Jensen-Type Inequalities for Signed Measures. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033884
Modern Language Association (MLA)
Jakšić, Rozarija…[et al.]. Reverses of the Jensen-Type Inequalities for Signed Measures. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033884
American Medical Association (AMA)
Jakšić, Rozarija& Pecaric, Josip E.& Rodić Lipanović, Mirna. Reverses of the Jensen-Type Inequalities for Signed Measures. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033884
