论文标题
非线性分区的分形插值
Fractal Interpolation over Nonlinear Partitions
论文作者
论文摘要
本文介绍了具有非线性分区的域上定义的分形插值问题。此设置概括了有关分形功能的已知方法，并为分形插值提供了新的整体方法。在这种情况下，考虑了非线性分区函数的扰动，并为某些类别的功能空间提供了基本分形插值问题的独特解决方案的足够条件。
This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the existence of a unique solution of the underlying fractal interpolation problem for some classes of function spaces are given.
