In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.
@article{107963,
author = {Robert Ma\v r\'\i k},
title = {Discrete singular functionals},
journal = {Archivum Mathematicum},
volume = {041},
year = {2005},
pages = {339-347},
zbl = {1122.39303},
mrnumber = {2188388},
language = {en},
url = {http://dml.mathdoc.fr/item/107963}
}
Mařík, Robert. Discrete singular functionals. Archivum Mathematicum, Tome 041 (2005) pp. 339-347. http://gdmltest.u-ga.fr/item/107963/
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