Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 193-196
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N. A. Sapogov. Weak stability of I. Marcinkievicz's theorem and some inequalities for characteristic functions. Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 193-196. http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a15/
@article{ZNSL_1979_85_a15,
author = {N. A. Sapogov},
title = {Weak stability of {I.~Marcinkievicz's} theorem and some inequalities for characteristic functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {193--196},
year = {1979},
volume = {85},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a15/}
}
TY - JOUR
AU - N. A. Sapogov
TI - Weak stability of I. Marcinkievicz's theorem and some inequalities for characteristic functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 193
EP - 196
VL - 85
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a15/
LA - ru
ID - ZNSL_1979_85_a15
ER -
%0 Journal Article
%A N. A. Sapogov
%T Weak stability of I. Marcinkievicz's theorem and some inequalities for characteristic functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 193-196
%V 85
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a15/
%G ru
%F ZNSL_1979_85_a15
We investigate weak stability of the well known theorem due to I. Marcinkiewicz which asserts that $\exp P(t)$ ($P(t)$ is an algebraical polynomial) can be a characteristic function only if the degree of $P(t)$ is not greater than 2. Some other simple inequalities for characteristic functions are also established.
