6533b7cefe1ef96bd12579c8

RESEARCH PRODUCT

Approximation properties of higher degree F-transforms based on B-splines

Svetlana AsmussMartins Kokainis

subject

Equioscillation theoremDiscrete mathematicsPolynomialApproximation theoryBox splineApproximation errorApplied mathematicsInverseSpouge's approximationMinimax approximation algorithmMathematics

description

The paper deals with the F-transform with polynomial components with respect to a generalized fuzzy partition given by B-splines. We investigate approximation properties of the inverse F-transform in this case and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

https://doi.org/10.1109/fuzz-ieee.2015.7338053