1 citations · 1 across the 6 of their papers we have counts for
7 papers
Generalized multivariate Fractal Interpolation Function and -Fractal Function
Megha Pandey, Pavjeet Singh, Saurabh Kumar Katiyar +1
In this paper, we introduce a new approach for constructing multivariate fractal interpolation functions and -fractal functions associated with multivariate functions. Unlike th…
Constrained Quantization for Uniform Distributions with Two Constraint Families
Pavjeet Singh, S. K. Katiyar, Megha Pandey +1
In this paper, we first consider a family of constraints given by straight lines. For a uniform probability distribution, we determine the constrained optimal sets of -points an…
Constrained quantization for the Cantor distribution
Megha Pandey, Mrinal K. Roychowdhury
The theory of constrained quantization has been recently introduced by Pandey and Roychowdhury. In this paper, they have further generalized their previous definition of constraine…
Constrained quantization for probability distributions
Megha Pandey, Mrinal Kanti Roychowdhury
In this work, we extend the classical framework of quantization for Borel probability measures defined on normed spaces by introducing and analyzing the notions of t…
Generalized Hausdorff metric on -metric space and some fixed point results
Jayanta Sarkar, Megha Pandey, Tanmoy Som +1
In this paper, a metric on -metric space analogous to the Hausdorff metric has been introduced and some basic properties are obtained on multi-valued -metric space. Furth…
Set-valued α-fractal functions
Megha Pandey, Tanmoy Som, Saurabh Verma
In this paper, we introduce the concept of the -fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbe…
Box Dimension and Fractional Integrals of Multivariate Fractal Interpolation Functions
Vishal Agrawal, Megha Pandey, Tanmoy Som
In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of -fractal function corresponding to the multiv…