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Advanced topics in fractal interpolation theory

Autor Song-Il Ri, Vasileios Drakopoulos, Songmin Nam
en Limba Engleză Paperback – 2 iun 2020
Fractal curves and fractal surfaces have attracted considerable attention due to their applications in areas such as Metallurgy, Earth Sciences, Surface Physics, Chemistry and Medical Sciences. Fractal interpolation provides a new insight to the approximation and modelling of experimental data. Fractal interpolation curves and surfaces are usually considered as attractors of some iterated function systems associated with a given set of data. There are fixed point theorems that can be used for the existence of the attractor of an appropriately chosen iterated function system and to the generation of fractal interpolation functions. In this book, in order to give nonlinear fractal interpolation curves and surfaces with extensive practical applications, we use Rakotch contractions and the Matkowski fixed point theorem. In particular, we extend our work and offer a more comprehensive overview including some of the latest research made by the authors.
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Specificații

ISBN-13: 9786138932468
ISBN-10: 6138932463
Pagini: 164
Dimensiuni: 150 x 220 x 10 mm
Greutate: 0.26 kg
Editura: Scholars' Press

Notă biografică

Song-Il Ri studied mathematics at University of Science, Pyongyang, D.P.R. of Korea at which he teaches as well. Vasileios Drakopoulos received B.S. in Mathematics, M.S. in Informatics & Operations Research and doctorate in Informatics from the N.K. University of Athens. He has received a scholarship for doctorate studies and postdoctoral research.