Geodesic
Variants of Karamata's Iteration Theorem
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 241 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Karamata's Iteration Theorem is used to refine the asymptotic behavior of iterates of a function, under a more restrictive assumption than Karamata's, but still involving regular variation. A second result gives a necessary and sufficient integral condition for convergence of a series of iterates. Historical background to the idea of regularly varying sequence precedes a short concluding section on attribution of a probabilistic result.
DOI : 10.2298/PIM0694241S
Classification : 26A12 40A05 40-03 01A55 01A60
Mots-clés : iterates, series, convergence, regularly varying sequence, Cauchy integral test, De Morgan, Buniakovsky, domain of attraction, Gnedenko 
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     author = {Eugene Seneta},
     title = {Variants of {Karamata's} {Iteration} {Theorem}},
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     pages = {241 },
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     zbl = {1246.26004},
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     url = {https://geodesic-test.mathdoc.fr/articles/10.2298/PIM0694241S/}
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Eugene Seneta. Variants of Karamata's Iteration Theorem. Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 241 . doi : 10.2298/PIM0694241S. https://geodesic-test.mathdoc.fr/articles/10.2298/PIM0694241S/

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