FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS

DOI10.1142/s0218348x23500445OpenAlexW4363679581MaRDI QIDQ6114681

Unnamed Author, Yong Shun Liang

Publication date: 15 August 2023

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x23500445

zbMATH Keywords

fractal dimensioncontinuous functionsgraph of the function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• Unnamed Item
• On the box dimensions of graphs of typical continuous functions
• On the fractional calculus of Besicovitch function
• Graphs of continuous functions and packing dimension
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractal functions and interpolation
• Vector-valued fractal interpolation functions and their box dimensions
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• On a class of fractal functions with graph box dimension 2
• Dimensions of graphs of functions and lacunary decompositions of spline approximations
• A remark on decomposition of continuous functions
• Fractal functions on the Sierpinski gasket
• A new method on box dimension of Weyl-Marchaud fractional derivative of Weierstrass function
• Bilinear fractal interpolation and box dimension
• Bivariate functions of bounded variation: fractal dimension and fractional integral
• Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus
• On a class of fractal functions with graph Hausdorff dimension 2
• What is the exact condition for fractional integrals and derivatives of Besicovitch functions to have exact box dimension?
• Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension
• The box dimension of self-affine graphs and repellers
• On the Hausdorff Dimension of Some Graphs
• On the Weierstrass-Mandelbrot fractal function
• The Hausdorff dimension of graphs of Weierstrass functions
• FRACTAL DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF CERTAIN UNBOUNDED VARIATIONAL CONTINUOUS FUNCTION
• DEFINITION AND CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION
• On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
• FRACTAL DIMENSION OF A SPECIAL CONTINUOUS FUNCTION
• WHAT IS THE EFFECT OF THE WEYL FRACTIONAL INTEGRAL ON THE HÖLDER CONTINUOUS FUNCTIONS?
• THE RELATIONSHIP BETWEEN FRACTAL DIMENSIONS OF BESICOVITCH FUNCTION AND THE ORDER OF HADAMARD FRACTIONAL INTEGRAL
• FRACTAL DIMENSIONS OF LINEAR COMBINATION OF CONTINUOUS FUNCTIONS WITH THE SAME BOX DIMENSION
• ON THE DECOMPOSITION OF CONTINUOUS FUNCTIONS AND DIMENSIONS
• THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS
• Assouad Dimension and Fractal Geometry
• The Hausdorff Dimension of the Graphs of Continuous Self-Affine Functions
• Vector-valued fractal functions: fractal dimension and fractional calculus

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