19 citations · 26 across the 7 of their papers we have counts for
7 papers
Multivariate Zipper Fractal Functions
D. Kumar, A. K. B. Chand, P. R. Massopust
A novel approach to zipper fractal interpolation theory for functions of several variables is proposed. We develop multivariate zipper fractal functions in a constructive manner. W…
Approximation by Quantum Meyer König and Zeller-Fractal Functions
D. Kumar, A. K. B. Chand, P. R. Massopust
In this paper, a novel class of quantum fractal functions is introduced based on the Meyer-König-Zeller operator . These quantum Meyer-König-Zeller (MKZ) fractal functions…
A New Class of Monotone/Convex Rational Fractal Function
S. K. Katiyar, A. K. B. Chand
This paper presents a description and analysis of a rational cubic spline FIF (RCSFIF) that has two shape parameters in each subinterval when it is defined implicitly. To be precis…
Parameter Identification of Constrained Data by a New Class of Rational Fractal Function
S. K. Katiyar, A. K. B. Chand, Sangita Jha
This paper sets a theoretical foundation for the applications of the fractal interpolation functions (FIFs). We construct rational cubic spline FIFs (RCSFIFs) with quadratic denomi…
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…
Coalescence Hidden Variable Fractal Interpolation Functions and its Smoothness Analysis
A. K. B. Chand, G. P. Kapoor
We construct a coalescence hidden variable fractal interpolation function (CHFIF) through a non-diagonal iterated function system(IFS). Such a FIF may be self-affine or non-self-af…