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Note on a Stability Theorem

Published online by Cambridge University Press:  20 November 2018

László Székelyhidi
László Székelyhidi*
Affiliation:
Department of Mathematics, Kossuth Lajos University, 4010 Debrecen, Hungary
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Abstract

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In this note the stability theorem of Albert and Baker concerning the n-th difference equation is proved by using invariant means.

Keywords

39A1039B70functional equationstabilityinvariant mean
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 4 , 01 December 1982 , pp. 500 - 501
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Albert, M. and Baker, J. A., Functions with bounded n-th differences, (unpublished manuscript).Google Scholar
2. Djokovic, D. Z., A representation theorem for (X1 - 1)(X2 - 1) … (Xn - 1) and its applications, Anna. Polon. Math., 22 (1979), 189-198.Google Scholar
3. Hewitt, E. and Ross, K., Abstract Harmonic Analysis, Berlin-Heidelberg-New York 1963.Google Scholar