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Zbl 1133.39027
Jung, Soon-Mo
A fixed point approach to the stability of an equation of the square spiral. (English)
[J] Banach J. Math. Anal. 1, No. 2, 148-153, electronic only (2007). ISSN 1735-8787/e

The idea of {\it L. Cădariu} and {\it V. Radu} [Grazer Math. Ber. 346, 43--52 (2004; Zbl 1060.39028)] is adopted to prove the Hyers-Ulam-Rassias stability of the functional equation of the square root spiral $f(\surd(r^{2}+1))=f(r)+tan^{-1}(1/r)$.
[Ioannis P. Stavroulakis (Ioannina)]

MSC 2000:: *39B82 Stability, separation, extension, and related topics
39B22 Functional equations for real functions

Keywords: Hyers-Ulam-Rassias stability; functional equation of the square root spiral

Citations: Zbl 1060.39028

Cited in: Zbl 1143.39015

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