Fractal Functions, Dimensions and Signal Analysis

AvSanto Banerjee,D. Easwaramoorthy

Häftad, Engelska, 2021

Del i serien Understanding Complex Systems

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Beskrivning

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions.

Produktinformation

Utgivningsdatum:2021-12-16
Mått:155 x 235 x 9 mm
Vikt:230 g
Format:Häftad
Språk:Engelska
Serie:Understanding Complex Systems
Antal sidor:132
Förlag:Springer Nature Switzerland AG
ISBN:9783030626747

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Mer om författaren

Santo Banerjee was working as Associate Professor, in the Institute for Mathematical Research (INSPEM), University Putra Malaysia, Malaysia till 2020, and also a founder member of the Malaysia-Italy Centre of Excellence in Mathematical Science, UPM, Malaysia. He is now associated with the Department of Mathematics, Politecnico di Torino, Italy. His research is mainly concerned with Nonlinear Dynamics, Chaos, Complexity and Secure Communication. He is a Managing Editor of EPJ Plus (Springer) D. Easwaramoorthy received the M.Sc. Degree in Mathematics from the Bharathidasan University, Tiruchirappalli, India in 2008 and the Ph.D. Degree in Mathematics from The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Dindigul, India in 2013. Currently, he is an Assistant Professor (Senior) in the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore, Tamil Nadu, India. His research interests include Fractal Analysis, Fuzzy Metric Spaces, Fuzzy Mathematics, Signal & Image Analysis; and Biomedical Signal Analysis.A. Gowrisankar received the M.Sc. and Ph.D. Degrees in Mathematics from the The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Dindigul, India in 2012 and 2017 respectively. He got institute postdoctoral fellowship from 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 (Deemed to be University), Vellore, Tamil Nadu, India. His broad area of research includes Fractal Analysis, Image Processing, Fractional Calculus and Fractal Functions.

Innehållsförteckning

Chapter 1. Mathematical background of deterministic fractals.- Chapter 2. Fractal functions.-Chapter 3. Fractional calculus and generalized fractal functions.- Chapter 4. Signal Analysis.- Chapter 5. Multifractal and wavelet based signal analysis.