Georgian Mathematical Journal
Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.
Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio
4 Issues per year
IMPACT FACTOR 2017: 0.482
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CiteScore 2017: 0.43
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Oscillations of chirp-like functions
In this paper we deal with real oscillatory functions of the form where , as and is periodic. We impose some sufficient conditions on functions and S which imply the d-dimensional fractal oscillatority of the function with , thus extending a result of Tricot (1995). Using the obtained results, we show that the oscillatory dimension of both component functions of the p-clothoid is equal to , where , and that the corresponding reflected functions are d-dimensional fractal oscillatory. The case where was treated previously by Korkut et al. (2008, 2009)
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