Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503136 | Journal of Mathematical Analysis and Applications | 2005 | 17 Pages |
Abstract
A variant of Jensen-Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen-Steffensen's inequality are established. Several inequalities involving more than two monotonic functions and generalized quasi-arithmetic means with not only positive weights are proved. It is shown that such generalized quasi-arithmetic means have the same comparability properties as those with positive weights.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S. Abramovich, M. KlariÄiÄ Bakula, M. MatiÄ, J. PeÄariÄ,