Article
A Comparison Theorem for Matrix Limitation Methods With Applications
Authors
and
Abstract
A comparison Theorem for matrix limitation methods is proved and the following applications are given: - new results concerning the comparison between weighted densities generated by different weights; - new results concerning the comparison between weighted densities of a set E ⊆ N∗ and those of its transformed set π(E), where π is a given injective function N∗ → N∗. In particular, a new class of permutations preserving the asymptotic density is identified.
Keywords
Matrix limitation method, Toeplitz matrix, Riesz matrix, weighted density.
Citation
Pasteka, M. (2006). A comparison theorem for matrix limitation methods with applications. Uniform Distribution Theory, 1(1), 87–109.
R. G. A. and M. Pasteka, “A comparison theorem for matrix limitation methods with applications,” Uniform Distribution Theory, vol. 1, no. 1, pp. 87–109, 2006.
RGA, Pasteka M. A comparison theorem for matrix limitation methods with applications. Uniform Distribution Theory. 2006;1(1):87–109.
Pasteka, M. (2006), ‘A comparison theorem for matrix limitation methods with applications’, Uniform Distribution Theory, 1(1), pp. 87–109.
, Rita Giuliano Antonini, and Milan Pasteka. “A Comparison Theorem for Matrix Limitation Methods with Applications.” Uniform Distribution Theory, vol. 1, no. 1, 2006, pp. 87–109.
, Rita Giuliano Antonini, and Milan Pasteka. “A Comparison Theorem for Matrix Limitation Methods with Applications.” Uniform Distribution Theory 1, no. 1 (2006): 87–109.
Export citation
Published by: Engineering Journals
