Dimension preserving approximation
Saurabh Verma, Peter Massopust
Abstract
Abstract This article introduces the novel notion of dimension preserving approximation for continuous functions defined on [0, 1] and initiates the study of it. Restrictions and extensions of continuous functions in regards to fractal dimensions are also investigated.
Topics & Concepts
MathematicsDimension (graph theory)Pure mathematicsFractalFractal dimensionMathematical analysisMathematical Dynamics and FractalsAdvanced Mathematical Theories and ApplicationsComputability, Logic, AI Algorithms