Turkish Journal of Mathematics
DOI
-
Abstract
In this paper, the concepts concerning the space of constant breadth were extended to E^n-space. An approximate solution of the equation system which belongs to this curve was obtained. Using this solution vectorial expression of the curves of constant breadth was obtained. The relation \int_0^{2\pi}\widetilde{f}(s)\,ds=0 between the curvatures of curves of constant breadth in E^n was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve"> MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']], displayMath: [['\\[','\\]'], ['$$','$$']]}}); Academic Journals Find Manuscript Copyright Release Form Copyright Release Form(Turkey) Copyright Release Form(Other Countries) Manuscript Submission and Evaluation System On the L^p Solutions of Dilation Equations Authors: İBRAHİM KIRAT
Keywords
Dilation equtions, tiles, wavelets, self-similar measures 433 Zülfigar AKDOĞAN GOP Üniversitesi, Fen Edebiyat Fakültesi, Tokat-TURKEY Abdullah MAĞDEN Atatürk Üniversitesi, Fen Edebiyat Fakültesi, Erzurum-TURKEY Some Characterization of Curves of Constant Breadth in E\( ^n \) Space Abstract: In this paper, the concepts concerning the space of constant breadth were extended to E^n-space. An approximate solution of the equation system which belongs to this curve was obtained. Using this solution vectorial expression of the curves of constant breadth was obtained. The relation \int_0^{2\pi}\widetilde{f}(s)\, ds=0 between the curvatures of curves of constant breadth in E^n was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve
First Page
427
Last Page
432
Recommended Citation
KIRAT, İBRAHİM (2001) "On the L^p Solutions of Dilation Equations," Turkish Journal of Mathematics: Vol. 25: No. 3, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol25/iss3/5
