A q-analogue of complete monotonicity
Colloquium Mathematicae (2008)
- Volume: 111, Issue: 2, page 169-181
- ISSN: 0010-1354
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topAnna Kula. "A q-analogue of complete monotonicity." Colloquium Mathematicae 111.2 (2008): 169-181. <http://eudml.org/doc/283644>.
@article{AnnaKula2008,
abstract = {The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.},
author = {Anna Kula},
journal = {Colloquium Mathematicae},
keywords = {moment problems; positive definiteness; complete monotonicity; -calculus; reproducing kernel; symmetric operators; selfadjoint extensions},
language = {eng},
number = {2},
pages = {169-181},
title = {A q-analogue of complete monotonicity},
url = {http://eudml.org/doc/283644},
volume = {111},
year = {2008},
}
TY - JOUR
AU - Anna Kula
TI - A q-analogue of complete monotonicity
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 2
SP - 169
EP - 181
AB - The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.
LA - eng
KW - moment problems; positive definiteness; complete monotonicity; -calculus; reproducing kernel; symmetric operators; selfadjoint extensions
UR - http://eudml.org/doc/283644
ER -
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