Publications de l'Institut Mathématique, Nouvelle SérieVol. 80(94), pp. 157–169 (2006)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 80(94), pp. 157–169 (2006) |
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GOOD DECOMPOSITION IN THE CLASS OF CONVEX FUNCTIONS OF HIGHER ORDERSlobodanka Jankovic and Tatjana OstrogorskiMatematicki institut SANU, Kneza Mihaila 35, Beograd, SerbiaAbstract: The problems investigated in this article are connected to the fact that the class of slowly varying functions is not closed with respect to the operation of subtraction. We study the class of functions $\mathcal{F}_{k-1}$, which are nonnegative and $i$-convex for $0\leq i<k$, where $k$ is a positive integer. We present necessary and sufficient condition that guarantee that, no matter how we decompose an additively slowly varying function $L\in\mathcal{F}_{k-1}$ into a sum $L=F+G$, $F,G\in\mathcal{F}_{k-1}$, then necessarily $F$ and $G$ are additively slowly varying. Classification (MSC2000): 26A12 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 4 Dec 2006.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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