3 papers
math.DS2025
Analysis of non-linear fractal functions on PCF self-similar sets
Aaryan Dharmesh Shah, Sangita Jha, Anarul Islam Mondal
This article deals with (1) the construction of a general non-linear fractal interpolation function on PCF self-similar sets, (2) the energy and normal derivatives of uniform non-l…
math.DS2023
A study on sensitivity and stability analysis of non-stationary -fractal functions
Anarul Islam Mondal, Sangita Jha
This article aims to study fractal interpolation functions corresponding to a sequence of iterated function systems (IFSs). For a suitable choice of a sequence of IFS parameters, t…
math.DS2023
Non-stationary -fractal functions and their dimensions in various function spaces
Anarul Islam Mondal, Sangita Jha
In this article, we study the novel concept of non-stationary iterated function systems (IFSs) introduced by Massopust in 2019. At first, using a sequence of different contractive…