We provide a rigorous study on dimensions of fractal interpolation functions defined on a
closed and bounded interval of R which are associated to a continuous function with respect …

This chapter aims to establish the notion of non-stationary-fractal operator and establish
some approximations and convergence properties. More specifically, the approximations …

In present times, there has been a substantial endeavor to generalize the classical notion of
iterated function system (IFS). We introduce a new type of non-linear contraction namely …

In this article, we present a novel generalization of a Bézier curve that can be non-smooth.
We name it the zipper fractal Bézier curve. This new curve is constructed using a class of …

This paper introduces a novel technique to approximate a given continuous function f
defined on a real compact interval by a new class of zipper α-fractal functions which contain …

On the one hand, the notion of mixed norm spaces has attracted considerable attention in
fields such as harmonic analysis and PDE. On the other hand, a particular modification of …

In this paper, the Riemann–Liouville fractional integral of an A‐fractal function is explored by
taking its vertical scaling factors in the block matrix as continuous functions from [0, 1] to ℝ …

In this paper, a novel class of quantum fractal functions is introduced based on the Meyer-
König-Zeller operator M q, n. These quantum Meyer-König-Zeller (MKZ) fractal functions …

Fractal functions are constructed through iterated function systems on suitable Banach
spaces. In this article, first, we introduce a new class of fractal approximants with variable …

IFS constitutes one of the powerful tools to generate fractal sets. Recently, a cyclic map is
used in IFS to construct a new class of fractals. This paper is an effort to study multivalued …