| 书目名称 | Fractal Functions, Dimensions and Signal Analysis | | 编辑 | Santo Banerjee,D. Easwaramoorthy,A. Gowrisankar | | 视频video | | | 概述 | Focuses on the fundamentals of fractional calculus of fractal functions in various settings, and its applications in signal analysis.Covers thoroughly the generalized fractal dimensions and the discre | | 丛书名称 | Understanding Complex Systems | | 图书封面 |  | | 描述 | 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 secti | | 出版日期 | Book 2021 | | 关键词 | Euclidean Geometry; Fractal Interpolation Function; Approximation Theory; Fractals in Metric Space; Wave | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-62672-3 | | isbn_softcover | 978-3-030-62674-7 | | isbn_ebook | 978-3-030-62672-3Series ISSN 1860-0832 Series E-ISSN 1860-0840 | | issn_series | 1860-0832 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:34:07
