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Frontiers of Fractal Analysis: Recent Advances and Challenges book cover

1st Edition

Frontiers of Fractal Analysis Recent Advances and Challenges

Edited By Santo Banerjee, A. Gowrisankar Copyright 2022
182 Pages 8 Color & 18 B/W Illustrations
by CRC Press

182 Pages 8 Color & 18 B/W Illustrations
by CRC Press

182 Pages 8 Color & 18 B/W Illustrations
by CRC Press
Also available as eBook on:
The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or... Read more

1. Some Remarks on Multivariate Fractal Approximation 
Megha Pandey, Vishal Agrawal, and Tanmoy Som 
2. Fractal Interpolation: From Global to Local, to Nonstationary and Quaternionic 
Peter R Massopust 
Introduction 
3. A Study on Fractal Operator Corresponding to Non-stationary Fractal Interpolation Functions  
Saurabh Verma and Sangita Jha 
4. Fractal Calculus 
Alireza Khalili Golmankhaneh, Kerri Welch, TMC Priyanka and A Gowrisankar 
5. Perspective of Fractal Calculus on Types of Fractal Interpolation Functions 
TMC Priyanka, A Agathiyan, and A Gowrisankar 
6. On the Borel Regularity of the Relative Centered Multifractal Measures 
Zied Douzi and Bilel Selmi 
7. A Mixed Multifractal Analysis of Vector-valued Measures: Review and Extension to Densities and Regularities of Non-necessary Gibbs Cases 
Anouar Ben Mabrouk and Bilel Selmi 
8. Multifractal Dimensions and Fractional Differentiation in Automated Edge Detection on Intuitionistic Fuzzy Enhanced Image 
VP Ananthi, C Thangaraj and D Easwaramoorthy 

Biography

Santo Banerjee is associated with the Department of Mathematics, Politecnico di Torino, Italy. Prior to this, he was an Associate Professor in the Institute for Mathematical Research (INSPEM), University Putra Malaysia, Malaysia, until 2020, and also a founder member of the Malaysia-Italy Centre of Excellence in Mathematical Science, UPM, Malaysia. His research is mainly concerned with Nonlinear Dynamics, Chaos, Complexity and Secure Communication. He is a Managing Editor of EPJ Plus (Springer).

A. Gowrisankar has a master's degree and Ph.D in Mathematics from The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Dindigul, India, in 2012 and 2017 respectively. He got an institute postdoctoral fellowship from the Indian Institute of Technology Guwahati (IITG), Guwahati, Assam, India, in 2017. At present, he is an Assistant Professor in the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India. His broad areas of research include Fractal Analysis, Image Processing, Fractional Calculus and Fractal Functions.

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