In this article, we introduce a new class of bi-quintic partially blended rational quartic zipper
fractal interpolation surfaces (RQZFISs) tailored for surface data over a rectangular grid. The …

A new metric, called stereographic metric is introduced on the sphere S\N, where N is the
north pole of the sphere S. Some properties of the iterated function system and its attractor …

In this article, a family of continuous functions on the unit sphere S ⊆ R^ 3 S⊆ R 3 is
considered as a generalization of spherical harmonics. The family is fractalized using a …

In this paper, we define fractal bases and fractal frames of L 2 (I× J), where I and J are real
compact intervals, in order to approximate two-dimensional square-integrable maps whose …

A classical piecewise interpolant can be redefined by utilizing horizontal contractive maps
that project the entire domain onto subintervals, ensuring uniqueness. By applying the …

In this paper, we introduce a class of novel C 1-rational quartic spline zipper fractal
interpolation functions (RQS ZFIFs) with variable scalings, where rational spline has a …

In this paper, we define fractal bases and fractal frames of L2 (IJ), where I and J are real
compact intervals, in order to approximate two-dimensional square-integrable maps whose …

In this paper, we define fractal bases and fractal frames of L2 (I× J), where I and J are real
compact intervals, in order to approximate two-dimensional square-integrable maps whose …