Document Type
Article
Publication Date
6-1-2010
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension function for the family of Sierpinski pedal triangles. We also show that this function is not convex and the related area-ratio function is not concave in their respective domain.
Publication Title
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
Volume
18
Issue
2
First Page
191
Last Page
195
Recommended Citation
Ding, J.,
Tang, Y.
(2010). Non-Convexity of the Dimension Function for Sierpinski Pedal Triangles. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 18(2), 191-195.
Available at: https://aquila.usm.edu/fac_pubs/758
Comments
This is the peer reviewed version of the following article:
"Non-Convexity of the Dimension Function for Sierpinski Pedal Triangles," which has been published in final form at 10.1142/S0218348X10004889.