Frontiers of fractal analysis : recent advances and challenges /: recent advances and challenges. (2022)

• Record Type: Book
• Further Information: Note: Edited by Santo Banerjee, A. Gowrisankar.
• Editors: Banerjee, Santo, 1976-; Gowrisankar, A (Arulprakash)
• Contents: Some Remarks on Multivariate Fractal Approximation Megha Pandey, Vishal Agrawal, and Tanmoy Som Introduction Dimension preserving approximation of Multivariate functions Some multi-valued mappings Concluding Remarks Fractal Interpolation: From Global to Local, to Nonstationary and Quaternionic Peter R. Massopust Introduction Global Fractal Interpolation Local Fractal Interpolation Non-stationary Fractal Interpolation Quaternionic Fractal Interpolation Summary A Study on Fractal Operator Corresponding to Non-stationary Fractal Interpolation Functions S. Verma, and S. Jha Introduction Backgrounds Non-stationary univariate -fractal functions Associated non-stationary fractal operator on C() Fractal dimension of non-stationary -fractal functions Some approximations Concluding Remarks Fractal Calculus Alireza Khalili Golmankhaneh, Kerri Welch, T.M.C. Priyanka, and A. Gowrisankar Introduction Local fractal calculus Non-local fractal calculus The local fractal Fourier transform The local fractal Laplace transform Discrete scale invariance Fractal calculus and its applications Concluding Remarks Perspective of Fractal Calculus on Types of Fractal Interpolation Functions T.M.C. Priyanka, A. Agathiyan, and A. Gowrisankar Introduction Fractal interpolation function Hidden variable fractal interpolation function -Fractal Functions Fractal Calculus of Fractal Functions Concluding Remarks On the Borel Regularity of the Relative Centered Multifractal Measures Zied Douzi, and Bilel Selmi Introduction The relative multifractal measures The Borel Regularity of the Relative Centered Multifractal Measures Remarks and discussion Concluding Remarks 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 Introduction The -mixed multifractal measures and dimensions The -mixed multifractal densities Regularities of -mixed multifractal measures Some motivations, Applications, Examples and Discussions Conclusion Appendix Multifractal Dimensions and Fractional Differentiation in Automated Edge Detection on Intuitionistic Fuzzy Enhanced Image V. P. Ananthi, C. Thangaraj, and D. Easwaramoorthy Introduction Preliminaries Proposed Method of Edge Detection Experimental Results and Discussion Concluding Remarks
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2022
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 514.742; Fractals; Fractal analysis
• Languages: English
• ISBNs: 9781000625950; 9781000625875; 9781003231202
• Related ISBNs: 9781032138671
• Notes: Note: Description based on CIP data; resource not viewed.
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