Results 21 to 30 of about 5,604,790 (214)
The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields [PDF]
Discrete Dynamics in Nature and Society, 2014 A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness is shown by virtue of the equivalent relationship between the Hölder type space CσKp and the Lipschitz class Lipσ,Kp. The orders of the p-type derivatives
Jing Li, Weiyi Su
doaj +2 more sources
Non-Stationary Fractal Interpolation
Mathematics, 2019 We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps { F k } k ∈ N where each F k maps H ( X ) → H ( X ) and arises from an ...
Peter Massopust
doaj +2 more sources
Uniform Continuity of Fractal Interpolation Function [PDF]
Mathematical Problems in Engineering, 2020 In order to research analysis properties of fractal interpolation function generated by the iterated function system defined by affine transformation, the continuity of fractal interpolation function is proved by the continuous definition of function and the uniform continuity of fractal interpolation function is proved by the definition of uniform ...
Xuezai Pan, Minggang Wang, Xudong Shang
openaire +2 more sources
Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
doaj +1 more source
Note on Fourier Transform of Hidden Variable Fractal Interpolation [PDF]
, 2023 This paper investigates the Fourier transform of a hidden variable fractal interpolation function with function scaling factors, which generalizes the Fourier transform of hidden variable fractal interpolation function with constant scaling factors ...
Bingi, Kishore +4 more
core +1 more source
A Concretization of an Approximation Method for Non-Affine Fractal Interpolation Functions
Mathematics, 2021 The present paper concretizes the models proposed by S. Ri and N. Secelean. S. Ri proposed the construction of the fractal interpolation function (FIF) considering finite systems consisting of Rakotch contractions, but produced no concretization of the ...
Alexandra Băicoianu +2 more
doaj +1 more source
Graph-directed random fractal interpolation function
, 2021 Barnsley introduced in [1] the notion of fractal interpolation function (FIF). He said that a fractal function is a (FIF) if it possess some interpolation properties.
SOÓS, Anna, SOMOGYI, Ildikó
core +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
ETNA - Electronic Transactions on Numerical Analysis, 2022 The natural kinship between classical theories of interpolation and approximation is well explored. In contrast to this, the interrelation between interpolation and approximation is subtle and this duality is relatively obscure in the context of fractal interpolation. The notion of $α$-fractal function provides a proper foundation for the approximation
Pandey, Kshitij Kumar +1 more
openaire +2 more sources
Fractal interpolation: a sequential approach [PDF]
, 2021 Fractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation functions which converge to a data generating (original) function for any choice of the scaling factors.
Vijender N., Navascués M.A.
core +1 more source