Approximation by Multiinteger Translates of Functions Having Global Support

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Approximation by Nonfundamental Sequences of Translates

For functions fit) satisfying certain growth conditions, we consider a sequence of the form {/(c„ — /)}, nonfundamental in L^R), and find a representation for those functions which are in the closure of its linear span. Some theorems concerning degree of approximation are also proved. In [1], we found necessary and sufficient conditions for a sequence of the form {ficn — t)} to be fundamental i...

Approximation by Translates of a Radial Function

The Exponentials in the Span of the Multiinteger Translates of a Compactly Supported Function; Quasiinterpolation and Approximation Order

Given a compactly supported function tp: W -*• C and the space 5 spanned by its integer translates, we study quasiinterpolants which reproduce (entirely or in part) the space H of all exponentials in S. We do this by imitating the action on H of the associated semi-discrete convolution operator *' by a convolution A*, A being a compactly supported distribution, and inverting A*|H by another ...

SUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN LOCAL AND GLOBAL PROPERTIES, AND APPROXIMATION

Super- and sub-additive transformations of aggregation functions have been recently introduced by Greco, Mesiar, Rindone and v{S}ipeky [The superadditive and the subadditive transformations of integrals and aggregation functions, {it Fuzzy Sets and Systems} {bf 291} (2016), 40--53]. In this article we give a survey of the recent development regarding the existence of aggregation functions with ...