- Volume 30 Issue 1
Many fractal objects observed in reality are characterized by some irregularities or complexities in their features. These properties can be measured and analyzed by means of fractal dimension. However, in many cases, the calculation of this value may not be so easy to utilize in applications. In this respect, we have treated a formal method to estimate the dimension of fractal curves.
- I. S. Baek. "Relation between spectral classed of a self-similar Cantor set", J. Math. Anal. Appl.292, 294-302, (2004) https://doi.org/10.1016/j.jmaa.2003.12.001
- R. J. Barton and H. V. Poor, "Signal detection in fractional Gaussian noise", IEEE Trans. Inform. Theory, 34, 943-959, 1988. https://doi.org/10.1109/18.21218
- J. Eidswick. "A characterization of the non-differentiability set of Cantor functions", Proc. Amer. Math. Soc.42, 214-217, (1974) https://doi.org/10.1090/S0002-9939-1974-0327992-8
- K. Falconer, "Fractal Geometry", John Wiley & Sons Ltd, Brisbane, 1990.
- K. Falconer, "Techiniques in fractal geometry", John Wiley & Sons Ltd, Brisbane, 1997.
- T. S. Kim and S. Kim, "Singular spectra of fractional Brownian motions as a multi-fractal" , Chaos Solitions & Fractals 19, 613-619, (2004) https://doi.org/10.1016/S0960-0779(03)00187-5
- A. Mosolov, "Singular fractal functions and mesoscopic dffects in mechanics", Chaos, Solutions & Fractals 4, 2093-2102, (1994) https://doi.org/10.1016/0960-0779(94)90123-6
- S. Seuret and J. Levy Vehel. "The local Holder function of a continuous functions", Appl. Comput. Harmon. Anal.13, 236-276, (2003)