A moment sequence in the q-world

Anna Kula. "A moment sequence in the q-world." Banach Center Publications 78.1 (2007): 201-210. <http://eudml.org/doc/282435>.

@article{AnnaKula2007,
abstract = {The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete monotonicity.},
author = {Anna Kula},
journal = {Banach Center Publications},
keywords = {moment problems; positive definiteness; complete monotonicity; -calculus; reproducing kernel; Hausdorff moment sequences},
language = {eng},
number = {1},
pages = {201-210},
title = {A moment sequence in the q-world},
url = {http://eudml.org/doc/282435},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Anna Kula
TI - A moment sequence in the q-world
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 201
EP - 210
AB - The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete monotonicity.
LA - eng
KW - moment problems; positive definiteness; complete monotonicity; -calculus; reproducing kernel; Hausdorff moment sequences
UR - http://eudml.org/doc/282435
ER -