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 …

General multifractal dimensions of measures

B Selmi - Fuzzy Sets and Systems, 2025 - Elsevier
The main aim of this paper is to present a comprehensive exploration of general multifractal
dimensions of Borel probability measures, with a specific emphasis on the diverse …

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 …

A note on fractal dimensions of graphs of certain continuous functions

P Liu, B Yu, Y Liang - Chaos, Solitons & Fractals, 2024 - Elsevier
This article investigates fractal dimensions variation of fractal functions under certain
operations, which corroborates the conjecture raised in our previous work Yu and Liang …

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 …

Non-stationary -contractions and associated fractals

Amit, V Basotia, A Prajapati - The Journal of Analysis, 2023 - Springer
In this study we provide several significant generalisations of Banach contraction principle
where the Lipschitz constant is substituted by real-valued control function that is a …

Inhomogeneous graph-directed attractors and fractal measures

S Dubey, S Verma - The Journal of Analysis, 2024 - Springer
In this paper, we define inhomogeneous Graph-Directed (GD) iterated function systems and
show the existence of attractors for this new system. We also prove the existence of fractal …