Bernstein’s analyticity theorem for quantum differences
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 1, page 67-73
- ISSN: 0011-4642
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topSjödin, Tord. "Bernstein’s analyticity theorem for quantum differences." Czechoslovak Mathematical Journal 57.1 (2007): 67-73. <http://eudml.org/doc/31113>.
@article{Sjödin2007,
abstract = {We consider real valued functions $f$ defined on a subinterval $I$ of the positive real axis and prove that if all of $f$’s quantum differences are nonnegative then $f$ has a power series representation on $I$. Further, if the quantum differences have fixed sign on $I$ then $f$ is analytic on $I$.},
author = {Sjödin, Tord},
journal = {Czechoslovak Mathematical Journal},
keywords = {difference; quantum difference; quantum derivative; power series; difference; quantum difference; quantum derivative; power series},
language = {eng},
number = {1},
pages = {67-73},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bernstein’s analyticity theorem for quantum differences},
url = {http://eudml.org/doc/31113},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Sjödin, Tord
TI - Bernstein’s analyticity theorem for quantum differences
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 67
EP - 73
AB - We consider real valued functions $f$ defined on a subinterval $I$ of the positive real axis and prove that if all of $f$’s quantum differences are nonnegative then $f$ has a power series representation on $I$. Further, if the quantum differences have fixed sign on $I$ then $f$ is analytic on $I$.
LA - eng
KW - difference; quantum difference; quantum derivative; power series; difference; quantum difference; quantum derivative; power series
UR - http://eudml.org/doc/31113
ER -
References
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