School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

2024

Abstract

In this paper, for a given family of constraints and the classical Cantor distribution we determine the optimal sets of n-points, nth constrained quantization errors for all positive integers n. We also calculate the constrained quantization dimension and the constrained quantization coefficient, and see that the constrained quantization dimension D(P) exists as a finite positive number, but the D(P)-dimensional constrained quantization coefficient does not exist.

Included in

Mathematics Commons

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