Continuous and discrete higher-degree \(F\)-transforms based on B-splines

DOI10.1007/s00500-017-2655-yzbMath1384.65094OpenAlexW2620941713MaRDI QIDQ1701845

Martins Kokainis, Svetlana V. Asmuss

Publication date: 27 February 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2655-y

zbMATH Keywords

approximation errorfuzzy transformfuzzy partition by B-splinesfuzzy transform with polynomial components

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral transforms (65R10) Approximation by operators (in particular, by integral operators) (41A35) Fuzzy real analysis (26E50) Integral transforms, operational calculus (44A99)

Related Items (6)

A fuzzy transform method for numerical solution of fractional Volterra integral equations ⋮ Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels ⋮ Higher Degree F-transforms Based on B-splines of Two Variables ⋮ Approximation by multivariate higher degree \(F\)-transform based on B-splines ⋮ Continuous and discrete higher-degree \(F\)-transforms based on B-splines ⋮ Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle

Uses Software

• OPQ

Cites Work

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• An identity for spline functions with applications to variation diminishing spline approximation
• F-transform in View of Aggregation Functions
• Springer Handbook of Computational Intelligence
• Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform
• A practical guide to splines.

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