19 citations · 24 across the 10 of their papers we have counts for
4 papers · 1 filter
A Fractal Operator on Some Standard Spaces of Functions
P. Viswanathan, M. A. Navascues
By appropriate choices of elements in the underlying iterated function system, methodology of fractal interpolation entitles one to associate a family of continuous self-referentia…
Discontinuous Fractal Functions and Fractal Histopolation
M. F. Barnsley, P. Viswanathan
Fractal functions that produce smooth and non-smooth approximants constitute an advancement to classical nonrecursive methods of approximation. In both classical and fractal approx…
Towards a More General Type of Univariate Constrained Interpolation With Fractal Splines
A. K. B. Chand, P. Viswanathan, K. M. Reddy
Recently, in [Electronic Transaction on Numerical Analysis, 41 (2014), pp. 420-442] authors introduced a new class of rational cubic fractal interpolation functions with linear den…
Shape Preserving Rational Cubic Spline Fractal Interpolation
A. K. B. Chand, P. Viswanathan
Fractal interpolation functions (FIFs) developed through iterated function systems (IFSs) prove more versatile than classical interpolants. However, the applications of FIFs in the…