Variation and Minkowski dimension of fractal interpolation surface

Article Properties
Cite
Feng, Zhigang. “Variation and Minkowski Dimension of Fractal Interpolation Surface”. Journal of Mathematical Analysis and Applications, vol. 345, no. 1, 2008, pp. 322-34, https://doi.org/10.1016/j.jmaa.2008.03.075.
Feng, Z. (2008). Variation and Minkowski dimension of fractal interpolation surface. Journal of Mathematical Analysis and Applications, 345(1), 322-334. https://doi.org/10.1016/j.jmaa.2008.03.075
Feng, Zhigang. “Variation and Minkowski Dimension of Fractal Interpolation Surface”. Journal of Mathematical Analysis and Applications 345, no. 1 (2008): 322-34. https://doi.org/10.1016/j.jmaa.2008.03.075.
Feng Z. Variation and Minkowski dimension of fractal interpolation surface. Journal of Mathematical Analysis and Applications. 2008;345(1):322-34.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Closed fractal interpolation surfaces Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 22 2007
On smoothness for a class of fractal interpolation surfaces Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
 2006
Bivariate fractal interpolation functions on grids Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
 2002
Function norms and fractal dimension SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1997
A general construction of fractal interpolation functions on Rn 2007
Refrences Analysis
Category Category Repetition
Science: Mathematics10
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Science: Science (General)2
The category Science: Mathematics 10 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Fractals. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Fractal surfaces in Lebesgue spaces with respect to fractal measures and associated fractal operators Chaos, Solitons & Fractals
  • Science: Mathematics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
 2024
FRACTAL SURFACES INVOLVING RAKOTCH CONTRACTION FOR COUNTABLE DATA SETS

 Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
 2024
The uniformly continuous theorem of fractal interpolation surface function and its proof

 AIMS Mathematics 2024
Box Dimension and Fractional Integrals of Multivariate $$\alpha $$-Fractal Functions Mediterranean Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 3 2023
A note on stability and fractal dimension of bivariate α-fractal functions Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2 2023
Citations Analysis
Category Category Repetition
Science: Mathematics27
Science: Science (General)10
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods9
Science: Physics3
Technology: Engineering (General). Civil engineering (General)2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Science: Physics: Heat: Thermodynamics1
Science: Mathematics: Analysis1
The category Science: Mathematics 27 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An embedded real-time finger-vein recognition system for mobile devices and was published in 2012. The most recent citation comes from a 2024 study titled The uniformly continuous theorem of fractal interpolation surface function and its proof. This article reached its peak citation in 2020, with 4 citations. It has been cited in 18 different journals, 16% of which are open access. Among related journals, the Fractals cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year