Note on a Stability Theorem
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 500-501
Voir la notice de l'article provenant de la source Cambridge University Press
In this note the stability theorem of Albert and Baker concerning the n-th difference equation is proved by using invariant means.
Mots-clés :
39A10, 39B70, functional equation, stability, invariant mean
Székelyhidi, László. Note on a Stability Theorem. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 500-501. doi: 10.4153/CMB-1982-074-0
@article{10_4153_CMB_1982_074_0,
author = {Sz\'ekelyhidi, L\'aszl\'o},
title = {Note on a {Stability} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {500--501},
year = {1982},
volume = {25},
number = {4},
doi = {10.4153/CMB-1982-074-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-074-0/}
}
[1] 1. Albert, M. and Baker, J. A., Functions with bounded n-th differences, (unpublished manuscript). Google Scholar
[2] 2. Djokovic, D. Z., A representation theorem for (X - 1)(X - 1) … (X - 1) and its applications, Anna. Polon. Math., 22 (1979), 189-198. Google Scholar
[3] 3. Hewitt, E. and Ross, K., Abstract Harmonic Analysis, Berlin-Heidelberg-New York 1963. Google Scholar
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