Teorema Terkait Teknik Perhitungan Integral Garis Lebesgue-Hausdorff atas Kurva Sederhana

Ahmad Lazwardi, Rahmatya Nurmeidina

Abstract


Penelitian ini bertujuan untuk menemukan beberapa teorema penting untuk teknik integrasi dari integral garis Lebesgue-Hausdorff yang merupakan generalisasi dari integral garis biasa. Hasil dari penelitian ini adalah beberapa teorema yang bersifat teknis yang bisa diaplikasikan dalam menentukan nilai integral garis Lebesgue-Hausdorff dari beberapa fungsi.

Keywords


Integral Garis Lebesgue Hausdorff; Ukuran Hausdorff

Full Text:

PDF

References


R. Balka and A. Mathe, “Generalized Hausdorff Measure for Generic Compect Sets,” Ann. Acad. Sci. Fenn. Math., vol. 38, no. 72655, pp. 1–8, 2013.

M. Fernandez and G.Sanchez, “Fractal dimension for fractal structures : A Hausdorff approach revisited,” Elsevier: Journal of Mathematical Analysis and Applications, vol. 401, pp. 321-330, 2013.

E. Gariepy, C, Measure theory and fine properties of functions, Revisited. United States: CRC Press, 2015.

A. Lazwardi, “Lebesgue-Hausdorff Line Integral of Husdorff Measurable Multivariable Function over Simple Curve on [a,b]”, International Conference of Mathematical Analysis, Its Applications and Learning 2018 Proceedings, Yogyakarta, 2018.

K. Ciesielski and T. Glatzer, “Functions Continous on Twice Differentiable Curves, Discontinous on Large Sets,” Real Anal. Exch., vol. 37, pp. 353–362, 2011.




DOI: http://dx.doi.org/10.12962/limits.v17i2.4462

Refbacks

  • There are currently no refbacks.


Jumlah Kunjungan:

Creative Commons License
Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/limits.