Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 97-103
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Yu. V. Matiyasevich. A sufficient condition for the recursive convergence of a monotone sequence. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 97-103. http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a9/
@article{ZNSL_1971_20_a9,
author = {Yu. V. Matiyasevich},
title = {A~sufficient condition for the recursive convergence of a~monotone sequence},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {97--103},
year = {1971},
volume = {20},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a9/}
}
TY - JOUR
AU - Yu. V. Matiyasevich
TI - A sufficient condition for the recursive convergence of a monotone sequence
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1971
SP - 97
EP - 103
VL - 20
UR - http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a9/
LA - ru
ID - ZNSL_1971_20_a9
ER -
%0 Journal Article
%A Yu. V. Matiyasevich
%T A sufficient condition for the recursive convergence of a monotone sequence
%J Zapiski Nauchnykh Seminarov POMI
%D 1971
%P 97-103
%V 20
%U http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a9/
%G ru
%F ZNSL_1971_20_a9
It is shown that a bounded monotone recursive sequence of recursive real numbers is recursively convergent provided its members satisfy a recurrent equation of some (rather general) form.
