Bernstein super fractal interpolation function for countable data systems

DOI10.1007/s11075-022-01398-5OpenAlexW4295300662MaRDI QIDQ2691911

Saurabh Verma, Syed Abbas, S. Ajay Chandra

Publication date: 30 March 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01398-5

zbMATH Keywords

approximationfractal dimensionRiemann-Liouville fractional integralcountable iterated function systemfractal operator

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Fractals (28A80) Approximation by other special function classes (41A30) Measure and integration (28-XX)

Related Items (2)

New type of fractal functions for the general data sets ⋮ ON THE CLASSICAL INTEGRAL OF FRACTAL FUNCTIONS

Cites Work

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• Fractional calculus on fractal interpolation for a sequence of data with countable iterated function system
• The existence of the attractor of countable iterated function systems
• Lower bound on the Hausdorff dimension of a set of complex continued fractions
• Fractal approximation
• Fractal interpolation functions with variable parameters and their analytical properties
• Fractal polynomial interpolation
• The calculus of fractal interpolation functions
• Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractal functions and interpolation
• Bernstein fractal trigonometric approximation
• A new idea to construct the fractal interpolation function
• Continuous dependence of attractors of iterated function systems
• Analysis of fractal dimension of mixed Riemann-Liouville integral
• Fractal functions on the Sierpinski gasket
• New equilibria of non-autonomous discrete dynamical systems
• A fractalization of rational trigonometric functions
• Bernstein fractal approximation and fractal full Müntz theorems
• Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
• Linear Functional Analysis for Scientists and Engineers
• Positive operators and Hausdorff dimension of invariant sets
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
• Super Fractal Interpolation Functions
• Quasinilpotent Operators and the Invariant Subspace Problem
• Dimensions and Measures in Infinite Iterated Function Systems
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES
• CUBIC SPLINE SUPER FRACTAL INTERPOLATION FUNCTIONS
• The fractal interpolation for countable systems of data
• Schauder bases in spaces of differentiable functions

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