Non-stationary zipper -fractal functions and associated fractal operator

S Jha, S Verma, AKB Chand - Fractional Calculus and Applied Analysis, 2022 - Springer
The present paper aims to introduce a new concept of a non-stationary scheme for the so
called fractal functions. Here we work with a sequence of maps for the zipper iterated …

Dimensions of new fractal functions and associated measures

M Verma, A Priyadarshi - Numerical Algorithms, 2023 - Springer
In this paper, we obtain a vector-valued fractal interpolation function in a more general
setting by using the Rakotch fixed point theory and the iterated function system. We also …

Remarks on the integral transform of non-linear fractal interpolation functions

A Agathiyan, A Gowrisankar, NAA Fataf, J Cao - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper examines the integral transform of fractal interpolation functions with function
scaling factors. Initially, the integral transform of quadratic fractal interpolation function …

Fractal surfaces in Lebesgue spaces with respect to fractal measures and associated fractal operators

R Lal, S Chandra, A Prajapati - Chaos, Solitons & Fractals, 2024 - Elsevier
The goal of this article is to study the fractal surfaces and associated fractal operator on
Lebesgue spaces with respect to fractal measures. First, we show that fractal surfaces …

Smoothness analysis and approximation aspects of non-stationary bivariate fractal functions

S Verma, S Jha, MA Navascués - Chaos, Solitons & Fractals, 2023 - Elsevier
The present note aims to establish the notion of non-stationary bivariate α-fractal functions
and discusses some of their approximation properties. We see that using a sequence of …

Fractal dimension analysis of stock prices of selected resulting companies after mergers and acquisitions

SK Verma, S Kumar - The European Physical Journal Special Topics, 2023 - Springer
This study focuses on the short-run wealth of listed firms' shareholders. Currently, all of the
resulting organizations offer competitive pricing tactics to create a superior environment for …

Fractal dimension analysis of financial performance of resulting companies after mergers and acquisitions

SK Verma, S Kumar - Chaos, Solitons & Fractals, 2024 - Elsevier
This study primarily focuses on financial performance after mergers and acquisitions of
resulting companies. We have taken the eleven years data of resulting companies of …

On α-fractal functions and their applications to analyzing the S&P BSE Sensex in India

A Kumar, SK Verma, SM Boulaaras - Chaos, Solitons & Fractals, 2024 - Elsevier
Following the seminal work of Barnsley on fractal interpolation, Navascués (2005) defined a
class of parametrized continuous functions called α-fractal functions. In this paper, we …

Dimensional study of COVID-19 via fractal functions

E Agrawal, S Verma - The European Physical Journal Special Topics, 2023 - Springer
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New type of fractal functions for the general data sets

M Verma, A Priyadarshi - Acta Applicandae Mathematicae, 2023 - Springer
In this paper, we prove the existence of the fractal interpolation function corresponding to a
general data set using the Rakotch contraction theory and iterated function system. We also …