Topological invariants and Lipschitz equivalence of fractal squares
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.012
Abstract: Abstract Fractal sets typically have very complex geometric structures, and a fundamental problem in fractal geometry is to characterize how “similar” different fractal sets are. The Lipschitz equivalence of fractal sets is often used to… read more here.
Keywords: self similar; equivalence fractal; equivalence; fractal sets ... See more keywords
On intrinsic and extrinsic rational approximation to Cantor sets
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DOI: 10.1017/etds.2020.7
Abstract: We establish various new results on a problem proposed by Mahler [Some suggestions for further research. Bull. Aust. Math. Soc. 29 (1984), 101–108] concerning rational approximation to fractal sets by rational numbers inside and outside… read more here.
Keywords: rational approximation; cantor; cantor sets; fractal sets ... See more keywords
CHARACTERIZATION OF THE RESISTIVE AND INDUCTIVE LOADS OF AN ENERGY DISTRIBUTION SYSTEM WITH JULIA FRACTAL SETS
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DOI: 10.1142/s0218348x20500826
Abstract: The present paper characterizes the resistive and inductive loads of an electric distribution system by Julia fractal sets, in order to discover other observations enabling the elevation of new the... read more here.
Keywords: fractal sets; system julia; julia fractal; resistive inductive ... See more keywords
Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property
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DOI: 10.1186/s13662-020-03121-x
Abstract: In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent literature. We provide new generalizations… read more here.
Keywords: local fractional; trapezium type; inequalities settings; fractal sets ... See more keywords