Fractal Functions Dimensions and Signal Analysis Fractal functions Chapter 3 Fractional calculus and generalized fractal functions

This book PDF is perfect for those who love Electronic Books genre, written by Santo Banerjee and published by Unknown which was released on 28 March 2024 with total hardcover pages 0. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Fractal Functions Dimensions and Signal Analysis Fractal functions Chapter 3 Fractional calculus and generalized fractal functions books below.

Fractal Functions  Dimensions and Signal Analysis  Fractal functions  Chapter 3  Fractional calculus and generalized fractal functions
Author : Santo Banerjee
File Size : 43,9 Mb
Publisher : Unknown
Language : English
Release Date : 28 March 2024
ISBN : 3030626733
Pages : 0 pages
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Fractal Functions Dimensions and Signal Analysis Fractal functions Chapter 3 Fractional calculus and generalized fractal functions by Santo Banerjee Book PDF Summary

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.

Fractal Functions  Dimensions and Signal Analysis

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through

Get Book
Fractal Functions  Dimensions and Signal Analysis  Fractal functions  Chapter 3  Fractional calculus and generalized fractal functions

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through

Get Book
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This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and

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