We are concerned with the approximation of functions by fractal functions with respect to L p-
norm on the Sierpiński gasket. We define the α-fractal function in L p space. The properties …

This research article deals with the fractal interpolation function and its box dimension
corresponding to a continuous function, defined on the Sierpiński gasket. This research also …

The present endeavor investigates an area concerning interpolative operators to approach
attractors, particularly fractals; ergo, an interpolative iterated operator system (I δ-IOS) is …

In this paper, we aim to construct fractal interpolation functions (FIFs) on the product of two
Sierpiński gaskets. Further, we collect some results regarding smoothness of the constructed …

The goal of this article is to study the fractal surfaces and associated fractal operator on
Lebesgue spaces with respect to fractal measures. First, we show that fractal surfaces …

The present note aims to establish the notion of non-stationary bivariate α-fractal functions
and discusses some of their approximation properties. We see that using a sequence of …

A note on stability and fractal dimension of bivariate α-fractal functions | Numerical Algorithms
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On the basis of previous studies, we explore the approximation of continuous functions with
fractal structure. We first give the calculation of fractal dimension of the linear combination of …

Following the work on non-stationary fractal interpolation (Mathematics 7, 666 (2019)), we
study non-stationary or statistically self-similar fractal interpolation on the Sierpiński gasket …

In this article, our aim is to estimate the fractal dimensions of the graphs of fractal
interpolation functions (FIFs) on the product of two Sierpiński gaskets. To achieve this, we …