Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket

DOI10.1007/S13540-023-00148-1zbMath1522.28011OpenAlexW4360797552MaRDI QIDQ6050057

Amit Priyadarshi, Saurabh Verma, Manuj Verma

Publication date: 12 October 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-023-00148-1

zbMATH Keywords

Hausdorff dimensionHölder continuitybox dimensionSierpiński gasketRiemann-Liouville fractional integralfractal function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Interpolation in approximation theory (41A05) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

ON THE BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND LINEARITY EFFECT ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ Approximation with continuous functions preserving fractal dimensions of the Riemann-Liouville operators of fractional calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of fractal interpolation functions on Sierpinski gasket
• 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
• Geometrical dimension versus smoothness
• Fractal differential equations on the Sierpiński gasket
• Analysis of fractal dimension of mixed Riemann-Liouville integral
• Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions
• \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket
• On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket
• Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
• Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
• Fractal interpolation on the Sierpiński gasket
• Fractal dimensions of fractional integral of continuous functions
• Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations
• The horizon problem for prevalent surfaces
• FRACTAL INTERPOLATION FUNCTIONS ON POST CRITICALLY FINITE SELF-SIMILAR SETS
• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES
• BOUNDED VARIATION ON THE SIERPIŃSKI GASKET
• ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS

This page was built for publication: Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket