UPPER AND LOWER FREQUENTLY UNIVERSAL SERIES
Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 615-627
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We introduce the notion of upper and lower frequently universal sequences and see that ‘most’ of the universal approximations are obtained by sets of indices which have upper density 1 and lower density 0. We also show that a class of universal series related to lower density is of first category.
PAPACHRISTODOULOS, CHRISTOS. UPPER AND LOWER FREQUENTLY UNIVERSAL SERIES. Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 615-627. doi: 10.1017/S001708951200078X
@article{10_1017_S001708951200078X,
author = {PAPACHRISTODOULOS, CHRISTOS},
title = {UPPER {AND} {LOWER} {FREQUENTLY} {UNIVERSAL} {SERIES}},
journal = {Glasgow mathematical journal},
pages = {615--627},
year = {2013},
volume = {55},
number = {3},
doi = {10.1017/S001708951200078X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951200078X/}
}
TY - JOUR AU - PAPACHRISTODOULOS, CHRISTOS TI - UPPER AND LOWER FREQUENTLY UNIVERSAL SERIES JO - Glasgow mathematical journal PY - 2013 SP - 615 EP - 627 VL - 55 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951200078X/ DO - 10.1017/S001708951200078X ID - 10_1017_S001708951200078X ER -
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