Results 31 to 40 of about 1,271 (204)
On the Fractal interpolation functions associated with Matkowski contractions
Electronic Research Archive, 2023 <abstract><p>In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function.
Najmeddine Attia +3 more
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Approximation by Quantum Meyer-König-Zeller Fractal Functions
Fractal and Fractional, 2022 In this paper, a novel class of quantum fractal functions is introduced based on the Meyer-König-Zeller operator Mq,n. These quantum Meyer-König-Zeller (MKZ) fractal functions employ Mq,nf as the base function in the iterated function system for α ...
Deependra Kumar +2 more
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Spline coalescence hidden variable fractal interpolation functions
Journal of Applied Mathematics, 2006 This paper generalizes the classical spline using a new construction of spline coalescence hidden variable fractal interpolation function (CHFIF). The derivative of a spline CHFIF is a typical fractal function that is self-affine or non-self-affine ...
A. K. B. Chand, G. P. Kapoor
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CUBIC SPLINE SUPER FRACTAL INTERPOLATION FUNCTIONS [PDF]
Fractals, 2014 In the present work, the notion of Cubic Spline Super Fractal Interpolation Function (SFIF) is introduced to simulate an object that depicts one structure embedded into another and its approximation properties are investigated. It is shown that, for an equidistant partition points of [x0, xN], the interpolating Cubic Spline SFIF[Formula: see text] and
Kapoor, G. P., Prasad, Srijanani Anurag
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The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields
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
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Fractal Dimension for a Class of Complex-Valued Fractal Interpolation Functions
, 2023 There are many research papers dealing with fractal dimension of real-valued fractal functions in the recent literature. The main focus of the present paper is to study fractal dimension of complex-valued functions. This paper also highlights the difference between dimensional results of the complex-valued and real-valued fractal functions.
Verma, Manuj +2 more
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
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Multigrid/Multiresolution Interpolation: Reducing Oversmoothing and Other Sampling Effects
Geomatics, 2022 Traditional interpolation methods, such as IDW, kriging, radial basis functions, and regularized splines, are commonly used to generate digital elevation models (DEM).
Daniel Rodriguez-Perez +1 more
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BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS
Fractals, 2002 In this paper, a method of construction of fractal interpolation functions (FIF) on random grids in ℝ2 is examined.
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Advanced Functional Materials, EarlyView.A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
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