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Converse Jensen–Steffensen inequality
- Source :
- Aequationes mathematicae. 82:233-246
- Publication Year :
- 2011
- Publisher :
- Springer Science and Business Media LLC, 2011.
-
Abstract
- In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.
- Subjects :
- Kantorovich inequality
Mathematics::Functional Analysis
Inequality
Applied Mathematics
General Mathematics
media_common.quotation_subject
Jensen-Steffensen inequality
Jensen-Mercer inequality
Jensen's inequality
Ky Fan inequality
Mathematics::Logic
Converse
Calculus
Discrete Mathematics and Combinatorics
Log sum inequality
exponentially convex functions
log-convex functions
Cauchy type means
Rearrangement inequality
Mathematical economics
Mathematics
media_common
Subjects
Details
- ISSN :
- 14208903 and 00019054
- Volume :
- 82
- Database :
- OpenAIRE
- Journal :
- Aequationes mathematicae
- Accession number :
- edsair.doi.dedup.....774c12abf8d1e0cb2e061e6e83447e19
- Full Text :
- https://doi.org/10.1007/s00010-011-0076-z