论文标题

维护近似的维度

Dimension preserving approximation

论文作者

Verma, S., Massopust, Peter R.

论文摘要

本文介绍了在$ [0,1] $上定义的连续函数的近似值的新颖概念,并启动了它的研究。还研究了连续功能在分形维度方面的限制和扩展。

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.

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