Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2020.1738458
Abstract: Abstract The current article intends to study some elementary constrained approximation aspects of the bivariate fractal functions. To this end, firstly the construction of bivariate fractal interpolation functions available in the literature is revisited with… read more here.
Keywords: interpolation functions; constrained approximation; bivariate fractal; bivariate ... See more keywords
Design of Stabilizers and Observers for a Class of Multivariable T–S Fuzzy Models on the Basis of New Interpolation Functions
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2017.2786244
Abstract: An approach to design stabilizers and observers for a class of multiple-input multiple-output (MIMO) Takagi–Sugeno (T–S) fuzzy models is developed on the basis of local gains and the searching for a set of interpolation functions… read more here.
Keywords: design stabilizers; fuzzy models; interpolation functions; observers class ... See more keywords
Parabolic spline interpolation for functions with large gradient in the boundary layer
Sign Up to like & getrecommendations! Published in 2017 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446617040036
Abstract: We consider the problem of Subbotin’s parabolic spline interpolation for functions with large gradient domains. In the case of the common piecewise uniform Shishkin’s mesh we obtain two-sided accuracy estimates for the class of functions… read more here.
Keywords: functions large; interpolation functions; large gradient; interpolation ... See more keywords
STATISTICAL PROPERTIES OF LINEAR FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATA SETS
Sign Up to like & getrecommendations! Published in 2017 at "Fractals"
DOI: 10.1142/s0218348x18500093
Abstract: Let N be an integer greater than or equal to 2 and let xi′s be numbers with x0 < x1 < x2 < ⋯ < xN. Denote that I is the interval [x0,xN] and Δ… read more here.
Keywords: interpolation functions; linear fractal; properties linear; statistical properties ... See more keywords